class optional mathematics questin collection

Joint Examination Board
PABSON, Bhaktapur
Second Terminal Examinations - 2066
Class: VIII Time: 1.30 hrs F.M:50
Subject: Opt.Maths P.M: 20



Group ‘A’ [9x2=18]

Q.1 a) In given right angled triangle ABC, find the ratios of Sec & Cosec .




b) Prove: CosA.

Q.2 a) If Sec = ,find Sin and tan .

b) Find the value of: Sin 900 + Cos600 + Tan 450.

Q.3) a) Find the value of: x and y if (x-2, y-3) = (2, 3).

b) Let R = {(0, 0), (1, 1), (2, 8), (3, 27)} be a relation from A B; find the domain and range of R .

Or

If A = {a, b} and B = {1, 2}. Find A x B.

Q.4) a) If P(x) = 4x2 – 3x +2 and Q(x) = 2x2 + 6x – 7.
Find P(x) + Q(x).




b) If the mid-point of the line joining A (7, b) and B (a, 2) is
(-1, 4) then find the values of a & b .

Or

Find the co-ordinates of point which divides internally the line joining C(-3,-4) and D(2,5) in the ratio 2:3.

c) If



Group -B [8x4=32]


Q.5) A pole stands in a horizontal plane and an angle of elevation of the top of the pole from a point is 45o and the distance between the point and the pole is 45m, find its height.

Q.6) If 5 tan = 4, find the value of

Q.7) Prove:

Q.8) If A = { 1,2,3) and B = { 1, 4, 9} and
R= { {x, y) : y = x2 } , find R .


Q.9) Use synthetic division to find quotient & the remainder if:
4a3 – 3a2 + 2a + 1 is divided by a-1 .

Q.10) Find the ratio and the point at which the line joining
M (2,-4) and N (-3,6) is divided by x-axis .

Or

Prove that the points A(-1,0), B(3,1), C(2,2) and
D(-2,1) are the vertices of a parallelogram.

Q.11) Prove that the points A (2, 3), B (2, 0) & C (-1, 0) are the vertices of an isosceles triangle.

Q.12) If


Best of luck