JOM TANYA SIFU
15 Days Programme: Part 2
DAY 01 : INDICES AND LOGARITHMS QUESTION 1 Solve the equation
QUESTION 2 Solve the equation
QUESTION 3 Solve the equation
QUESTION 4 Solve the equation
QUESTION 5 Solve the equation
QUESTION 7 Solve the equation
QUESTION 6
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Solve the equation
QUESTION 8 Solve the equation
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JOM TANYA SIFU
15 Days Programme: Part 2
DAY 02: INDICES AND LOGARITHMS QUESTION 1
QUESTION 2
Solve the equation
Solve the equation
QUESTION 3 Solve the equation
QUESTION 5 Solve the equation
QUESTION 7 Given that
, express in terms of
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QUESTION 4
Solve the equation
QUESTION 6 Solve the equation
QUESTION 8 Given that
, find the value of
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JOM TANYA SIFU
15 Days Programme: Part 2
DAY 03: INDICES AND LOGARITHMSFUNCTIONS QUESTION 1 Solve the equation
QUESTION 2 Solve the equation
QUESTION 3 Solve the equation
QUESTION 4 Solve the equation
QUESTION 5 Solve the equation
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QUESTION 6 Given that
, find the value of
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JOM TANYA SIFU
15 Days Programme: Part 2
DAY 04: INDICES AND LOGARITHMS QUESTION 1 Solve the equation
QUESTION 2 Solve the equation
QUESTION 3 Solve the equation
QUESTION 4 Solve the equation
QUESTION 5 Solve the equation
QUESTION 6 Solve the equation
QUESTION 7 Given that , find the value of
QUESTION 8 Given that
, find the value of
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JOM TANYA SIFU
15 Days Programme: Part 2
DAY 05: INDICES AND LOGARITHMS QUESTION 1 Solve the equation
QUESTION 2 Solve the equation
QUESTION 3 Solve the equation
QUESTION 4 Solve the equation
QUESTION 5 Solve the equation
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QUESTION 6 Given that of
, express in terms
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JOM TANYA SIFU
15 Days Programme: Part 2
DAY 06: INDICES AND LOGARITHMS QUESTION 1 Given that , find the value of
QUESTION 3 Given that in terms of and
QUESTION 2 Solve the equation
QUESTION 4
and , express
QUESTION 5 Given that and in terms of and
, express
QUESTION 7 Given that and in terms of and
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, express
Given that
and , express in terms of and
QUESTION 6 Given that
, find the value of
QUESTION 8 Given that and , express in terms of and
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JOM TANYA SIFU
15 Days Programme: Part 2
DAY 07 : COORDINATE GEOMETRY QUESTION 1 The point divides the line segment that connects and internally in the ratio . Find the values of and
QUESTION 3 Diagram 1 shows a straight line PQ. The point R lies on PQ such that PR : RQ = 3 : 2. Find the values of and
QUESTION 2 A straight line passes through and . Point divides the line segment in the ratio Find the coordinates of
.
QUESTION 4 Diagram 2 shows three points A, M and B. Given point M divides AB in the ratio .Find the ratio .
QUESTION 5
QUESTION 6
) )
Diagram 3 shows three points, P(0 , 2) , Q(2 , 3) and on a straight line. Given , find the coordinates of
Diagram 4 shows the point A(3 , 8) and straight line BC. The straight line BC intersects the -axis at C, and point D is the midpoint of BC. Find the distance of AD
QUESTION 7 Given that A(-3, -8), B(2 , 7) and C(4, k) lie on the straight line. (a) Find the value of k (b) The straight line BC is extended to appoint D(8, 25) such that BC : CD= m : n. Find the value of m : n
QUESTION 8 Given that the points P(1 , 4), Q(3 , 0) and R(6 ,h) are collinear, find (a) the value of h (b) the ratio of PQ : QR in the form of m : n.
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JOM TANYA SIFU
15 Days Programme: Part 2
DAY 08 : COORDINATE GEOMETRY QUESTION 1 Find the equation of the perpendicular bisector of the line joining the points and
QUESTION 3 Find the equation of the straight lin e which is perpendicular to the straight line and passes
through the point (-1 , 2)
QUESTION 5
has a -intercept of -5 and is parallel to the straight line . Find the values of and .
The straight line
QUESTION 7
QUESTION 2 The points A and B have coordinates (2 , 4) and (10 , 6) respectively. Find the equation of the p erpendicular bisector of AB.
QUESTION 4 A straight line
has -intercept of 4 and it is perpendicular to the straight line . Find the values of and
QUESTION 6 Given that the straight lines
Diagram 1 shows the straight line PQ with the equation . Find the
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Diagram 2 shows the straight line PQ with the equation . Find the
equation of the straight line that is perpendicular to PQ and passes through Q.
and are perpendicular, find the value of
QUESTION 8
equation of the straight line that is perpendicular to PQ and passes through P.
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JOM TANYA SIFU DAY 09 : COORDINATE GEOMETRY QUESTION 1 Find the equation of the locus of point P which moves in such a way that its distance from A(3 , 4) is twice its distance from B(-2 , 1).
15 Days Programme: Part 2
QUESTION 2
Diagram 1 shows a straight line RS which has a midpoint of (4 , 5) (a) Find the value of (b) Find the equation of the locus of point which moves such that its distance from point is always 5 units
QUESTION 3 The points A(3,-2), B(-5, -6) and P(x, y) are on the circumference of a circle with diameter AB, Find the equation of the locus of the point P
QUESTION 4 Find the equation of the locus of a point R which moves in such a way that where and are -intercept and -intercept of straight line respectively.
QUESTION 5 The points (1 , 5), (4, 0) and (h, -1) are the vertices of a triangle. Given that the area of the triangle is 29 unit 2, find the possible value of h
QUESTION 6 P(6 , 4), Q(k , 1) and R(0, 12) are the vertices of a triangle which is right-angled at P. Find (a) the value of k (b) equation of PR
QUESTION 7 The vertices of a triangle are and . Given that is a parallelogram, find the coordinates of .
QUESTION 8 The coordinates of points A, B, C and D are (h , 4), (7, k), (1, -7) and (2 ,1) respectively. If points A, B, C and D form a parallelogram, find the values of h and k.
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JOM TANYA SIFU
15 Days Programme: Part 2
DAY 10 : COORDINATE GEOMETRY QUESTION 1 Diagram 1 shows a triangle . Point lies on the line . Given that the equation of line is
(a) Find the coordinate of point if
(b) Hence, find the equation of line (c) Calculate the area of (d) A point moves such that that its distance from point is equal to the distance between point and point . Find the equation of the locus .
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QUESTION 2 Diagram 2 shows a trapezium in which is parallel to . is perpendicular to both and . The equation of the straight line is .
(a) Find (i) the equation of the straight line (ii) the coordinates of (b) Given the point lies on the straight line such that , find the coordinates of point . (c) A point moves such that its distance from point is always twice its distance from point . Find the equation of the locus .
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JOM TANYA SIFU
15 Days Programme: Part 2
DAY 11 : COORDINATE GEOMETRY QUESTION 1
Diagram 1 shows a parallelogram PQRS on a Cartesian plane .
(a) Find the value of t . Hence, state state the equation equation of a straight line PQ in the intercept form. (b) N is a moving point such that its distance is in the ratio RQ : QN = 2 : 3. Find the equation of the locus of N . (c) Calculate the area of PQRS .
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QUESTION 2
Diagram 2 shows a parallelogram PQRS with point P(-1 , 6) and point Q lies on the xaxis. The equation of the straight line QS is . The diagonals PR and QS intersect at point N. Find (a) the gradient of the the straight line PQ (b) the equation of the the straight line PR (c) the coordinates of point N (d) the area of the parallelogram PQRS
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JOM TANYA SIFU DAY 12 : COORDINATE GEOMETRY QUESTION 1
15 Days Programme: Part 2
QUESTION 2
Diagram 4 shows a triangle PQR, where P lies on the y-axis. Given that the equation of PR is
Diagram 3 shows the straight line RST that has an equation . The line intersects the x-axis and the y-axis at point R and S respectively. (a) Given that 2RS = ST, find the the coordinate of T. (b) Point M moves such that its distance from point S is always one-third its distance from point T. (i) Find the equation of the the locus of M (ii) Hence, find the coordinates of the points where the locus of M intersects the x-axis.
(i) the coordinates of P (ii) the equation of the straight line that that passes t through P and perpendicular to PR. (b) Given that the area of triangle PQR is 64 unit 2, find the value of k, where k<0 (c) The straight line QR is extended to a point S such that QR : RS = 3 : 2. Find the coordinates of S.
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(a) Find
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JOM TANYA SIFU
15 Days Programme: Part 2
DAY 13 : QUADRATIC FUNCTIONS QUESTION 1
Diagram 3 shows a point T that lies on the perpendicular bisector of AB. (a) Find the equation equation of straight line AB (b) A point P moves such that PA = 2AB. Find Find the equation of locus of P. (c) Locus of P intersects the x-axis at points Y and Z. State the coordinates of Y and Z. (d) Find the x-intercept of CD.
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QUESTION 2 Diagram 4 shows two perpendicular lines and intersecting each other at point (a) Find the equation of the line PQR (b) find the coordinates of P
(c) It is given that , find the coordinates of . (d) A point moves such that its distance from point is always half its distance from point . (i) Find the equation of the locus of S. (ii) Hence, determine whether this locus intercepts the y-axis or not.
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JOM TANYA SIFU DAY 14 : COORDINATE GEOMETRY QUESTION 1
Diagram 1 shows the straight lines AN and AL. Given that the equation of the straight line AN is and . (a) Find the equation of the straight line (b) The straight line is extended until it intersects the y-axis at point such that . Find the coordinates of point
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15 Days Programme: Part 2
QUESTION 2
Diagram 2 shows the straight line P Q which is perpendicular to the straight line QS at point . Given that the equation of the straight line PQ is . The straight line SQ is extended to a point T at the y-axis such that . Find (a) the equation of the straight line ST (b) the coordinates of T and S (c) A point W moves such that its distance from T is twice its distance from Q. Find the equation of the locus of W.
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JOM TANYA SIFU DAY 15 : COORDINATE GEOMETRY QUESTION 1
15 Days Programme: Part 2
QUESTION 2
(a) Find (i) the equation of the straight line AB (ii) the coordinates of B (b) The straight line AB is extended to a point D such that . Find the coordinates of D (c) A point W moves such that its distance from point A is always 5 units. Find the equation of the locus of W
Diagram 2 shows a kite AEBD. The diagonals AB and DE intersects at a right angle at C. It is given that the equation of the straight line BE is . (a) Find (i) the coordinates of point C (ii) the quation of the straight line DE (iii) the coordinates of point E (b) Calculate the area, in unit 2, of the triangle ABE (c) A point P moves such that its its distance from point A is always 4 units. Find the equation of the locus of P
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