Opt Maths _9

Subject: Opt. Math [REF] F.M.: 50
Class: IX P.M.: 20
Whitefield Secondary School

Chhetrapati, Kathmandu

First Evaluation Test: 2078

Time: 75 Mins

Attempt all the questions
Group A (5X1=5 marks)

1) Define one to one function.
2) Write the equation of straight line in normal form.
3) What is the mid-point of (5,-2) and (3,0)?
4) What is the equation of straight line parallel to x-axis?
5) Write the formula to find centroid of a triangle when three Vertices are given.

Group B (5x2=10 marks)

6) In a function f(x)= 3-3 2+5x-3, what is the image of -2?
7) If (x-2, 4)= (-2x, 4+y), find the value of x and y.
8) Find the co-ordinate of a point which divides the line joining the points (5, -2) and

(9,6) in the ratio of 3:1.
9) Find the equations of the line having slope -2 and y-intercept is 4.
10) If f={(1,a), (2,b), (3,c), (4,d), (5,e)}, find the domain and range of f.

Group C (4x5=20)

11) Prove that the three points (6,4),(-3,1) and (0,2) are collinear.
12) Prove that the four points (1,2), (7,3), (10,8) and (4,7) are vertices of a parallelogram.
13) Let A={1,2, 3} and B={2,3, 4}. Find AXB. Also find the relation from set A to Set B

satisfying the conditions x=y.
14) If f(x+4) = f(x)+f(4), prove that a) f(0)=0 b) f(-4)=-f(4).
15) Find the equation of locus of a point which is equidistance from the the vertices (2,3)

and (4,5).

Group D (5x1=5 marks)

16) Reduce the equation of straight line 2x-3y-12=0 in
a) slope intercept form and find slope of the line.
b) double intercept form and find x-intercept and y-intercept.

GOOD LUCK.