15 Days Programme_part 2

7/31/2019 15 Days Programme_part 2

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JOM TANYA SIFU 15 Days Programme: Part 2

Prepared by : Pn Hayati Aini Ahmad Page 1

DAY 01 : INDICES AND LOGARITHMS

QUESTION 1

Solve the equation QUESTION 2

Solve the equation

QUESTION 3


Solve the equation

QUESTION 5


Solve the equation

QUESTION 7


Solve the equation

Date of completion: Checked by:


2/15



DAY 02: INDICES AND LOGARITHMS

QUESTION 1

Solve the equation

QUESTION 2

Solve the equation

QUESTION 3


Solve the equation

QUESTION 5


Solve the equation

QUESTION 7

Given that , express in terms ofQUESTION 8

Given that , find the value of



3/15



DAY 03: INDICES AND LOGARITHMSFUNCTIONS

QUESTION 1


Solve the equation

QUESTION 3Solve the equation QUESTION 4Solve the equation

QUESTION 5





4/15




QUESTION 1


Solve the equation

QUESTION 3


Solve the equation

QUESTION 5


Solve the equation

QUESTION 7

Given that , find thevalue of

QUESTION 8




5/15




QUESTION 1


Solve the equation

QUESTION 3Solve the equation QUESTION 4Solve the equation

QUESTION 5


Given that , express in termsof



6/15




QUESTION 1

Given that , find the value ofQUESTION 2

Solve the equation

QUESTION 3

Given that and , express in terms of and

QUESTION 4

Given that and , express

in terms of and

QUESTION 5


QUESTION 6


QUESTION 7


QUESTION 8




7/15



DAY 07 : COORDINATE GEOMETRY

QUESTION 1

The point divides the line segment thatconnects and internally in the ratio . 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 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 4

Diagram 2 shows

three points A, M

and B. Given point

M divides AB in the

ratio .Find the

ratio .

QUESTION 5

Diagram 3 shows three

points, P(0 , 2) , Q(2 , 3)and on a straight

line. Given , findthe coordinates of

QUESTION 6

Diagram 4 shows the

point A(3 , 8) and

straight line BC. The

straight line BCintersects the -axis atC, 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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)


8/15




QUESTION 1

Find the equation of the perpendicular bisector of the

line joining the points and

QUESTION 2

The points A and B have coordinates (2 , 4) and (10 , 6)

respectively. Find the equation of the perpendicular

bisector of AB.

QUESTION 3

Find the equation of the straight line which is

perpendicular to the straight line

and passes

through the point (-1 , 2)

QUESTION 4

A straight line

has -intercept of 4 and it is

perpendicular to the straight line . Findthe values of and

QUESTION 5

The straight line

has a -intercept of -5

and is parallel to the straight line

. Find the

values of and .

QUESTION 6

Given that the straight lines and

are perpendicular, find the value of

QUESTION 7

Diagram 1 shows the

straight line PQ with the

equation

. Find theequation of the straight line

that is perpendicular to PQ

and passes through Q.

QUESTION 8

Diagram 2 shows the

straight line PQ with the

equation

. Find theequation of the straight line

that is perpendicular to PQ

and passes through P.



9/15




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).

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 suchthat its distance from pointis 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 theequation 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 atriangle. Given that the area of the triangle is 29 unit2,

find the possible value of h

QUESTION 6

P(6 , 4), Q(k , 1) and R(0, 12) are the vertices of atriangle 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 thecoordinates 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.



10/15




QUESTION 1

Diagram 1 shows a

triangle . Point lieson the line . Given thatthe equation of line is (a) Find the coordinate ofpoint 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 pointand point. Find the equation of the locus .

QUESTION 2

Diagram 2 shows a

trapezium inwhich is parallel to

. is perpendicularto both and . Theequation of the straightline is .

(a) Find

(i) the equation of the straight line(ii) the coordinates of

(b) Given the point lies on the straight line suchthat , find the coordinates of point.

(c) A point moves such that its distance from pointis always twice its distance from point . Find the

equation of the locus .



11/15




QUESTION 1

Diagram 1 shows a

parallelogram PQRS

on a Cartesian

plane .

(a) Find the value of t. Hence, state the equation of a

straight line PQ in the intercept form.

(b) Nis a moving point such that its distance is in the

ratio RQ : QN= 2 : 3. Find the equation of the locus

ofN.

(c) Calculate the area ofPQRS.

QUESTION 2

Diagram 2 shows

a parallelogram

PQRS with point

P(-1 , 6) and point

Q lies on the x-

axis. The equationof the straight line

QS is .

The diagonals PR and QS intersect at point N. Find

(a) the gradient of the straight line PQ

(b) the equation of the straight line PR

(c) the coordinates of point N

(d) the area of the parallelogram PQRS



12/15




QUESTION 1

Diagram 3 shows the straight line RST that has an

equation . The line intersects the x-axisand the y-axis at point R and S respectively.

(a) Given that 2RS = ST, find 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 locus of M

(ii) Hence, find the coordinates of the points

where the locus of M intersects the x-axis.

QUESTION 2

Diagram 4 shows

a triangle PQR,

where P lies on

the y-axis. Given

that the equation

of PR is

(a) Find

(i) the coordinates of P

(ii) the equation of the straight line that passes t

through P and perpendicular to PR.

(b) Given that the area of triangle PQR is 64 unit2, find

the value of k, where k


13/15



DAY 13 : QUADRATIC FUNCTIONS

QUESTION 1

Diagram 3 shows a point T that lies on the

perpendicular bisector of AB.

(a) Find the equation of straight line AB

(b) A point P moves such that PA = 2AB. 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.

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 coordinatesof.

(d) A point moves such that its distancefrom pointis always half its distance frompoint.(i) Find the equation of the locus of S.

(ii) Hence, determine whether this locus

intercepts the y-axis or not.



14/15




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 . Findthe coordinates of point

QUESTION 2

Diagram 2 shows the straight line PQ which isperpendicular 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 pointT 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.



15/15




QUESTION 1

(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 ofW

QUESTION 2

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 unit2, of the triangle ABE

(c) A point P moves such that its distance from point A

is always 4 units. Find the equation of the locus of P


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