- If the straight lines x – 2y= 0 and kx
- y= 1 intersect at the point. /, then
what is the value of k?
(a) 1 (b) 2 (c) ½ (d) -1/2
- If the area of a triangle with vertices
(-3, 0), (3, 0) and (0, k) is 9 sq. unit,
then what is the value of k?
(a) 3 (b) 6 (c) 9 (d) 12 - What is the image of the point (1, 2)
on the line 3x + 4y – 1= 0?
(a). / (b).^ / (c).^ / (d)
. /
42. If the lines 3y + 4x= 1, y= x + 5 and
5y + bx= 3 are concurrent, then what is
the value of b?
(a) 1 (b) 3 (c) 6 (d) 0
43. If (-5, 4) divides the line segment
between the coordinate axes in the
ratio 1 : 2, then what is its equation?
(a) 8x + 5y + 20= 0 (b) 5x + 8y – 7= 0
(c) 8x – 5y + 60= 0 (d) 5x – 8y + 57= 0
44. What is the product of the
perpendiculars from the two points
. √ / to the line ax cos Ø + by
sin Ø= ab?
(a) (b) (c) ab (d) a/b
- The middle point of the segment of
the straight line joining the points (p,
q) and (q, -p) is (r/2, s/2). What is the
length of the segment?
(a) [( )^ ⁄^ ] (b) [( )^ ⁄^ ]
(c) ( )^ ⁄^ (d) s + r
- What is the area of the triangle
formed by the lines y – x= 0, y + x= 0, x
= c?
(a) c/2 (b) (c) 2 (d) /2 - If x cos Ѳ + y sin Ѳ= 2 is
perpendicular to the line x – y= 3, then
what is one of the values of Ѳ?
(a) π/6 (b) π/4 (c) π/2 (d) π/3 - The point of intersection of the two
lines 2x + 3y +4= 0 and 4x + 3y + 2= 0 is
at a distance d from origin. What is the
value of d?
(a) √ (b) √ (c) √ (d) √ - The line through the points (4, 3)
and (2, 5) cuts off intercepts of lengths
λ and μ on the axes. Which one of the
following is correct?
(a) λ > μ (b) λ < μ (c) λ > -μ (d) λ = μ - If A (2, 3), B (1, 4), C (0, -2) and D (x,
y) are the vertices of a parallelogram ,
then what is the value of (x, y)?
(a) (1, -3) (b) (2, 4) (c) (1, 1) (d) (0, 0) - The coordinates of P and Q are (-3,
- and (2, 1) respectively. If PQ is
extended to R such that PR= 2QR, then
what are the coordinates of R?
(a) (3, 7) (b) (2, 4)
(c). / (d) (7, -2)- Which one of the following points
on the line 2x – 3y= 5 is equidistant
from (1, 2) and (3, 4)?
(a) (7, 3) (b) (4, 1) (c) (1, -1) (d) (-2, -