Q). (0, 0), (1, 0), (0, -4) are the vertices of a _____________ triangle.
A) equilateral
B) isosceles
C) right-angled isosceles
D) scalene
Explanation: A(0,0)B(1,0)and C(0,-4)
AB =
= 1BC =
CA =
= 4The points forms a scalene triangle.
Q). If (8,1), (k, -4), (2, -5) are collinear, then k =
A) 1
B) 2
C) 3
D) 4
Explanation:
,given points are collinear, △ = 0△ =
=0=
= 0=
= 0=
=06(8 – k) – 6 x 5 = 0
48-6k-30 = 0
⇒18-6k = 0
⇒6(3-k) = 0
⇒k=3
Q). If the slope of the line through (2, -7) and (x, 5) is 3 then x =
A) 4
B) 5
C) 6
D) 7
Explanation:
Slope of the line = m=
=
= 312 = 3x-6
3x = 18
X = 18/3
X = 6
Q). The distance between the points (cosθ, sinθ) and (-sinθ, cosθ) is
A) 1
B) √2
C) 2
D) √3
Explanation: (cosθ, sinθ) and (-sinθ, cosθ)
=
=
=
=
=√2Q). The number of elements in a triangle is
A) 3
B) 4
C) 6
D) 5
Q). In the figure
If MN || BC, AN = 3, NC = 18, MB = 24, then AM =
A) 2
B) 4
C) 6
D) 8
Q). If two triangles have the same base and area then they lies between
A) parallel lines
B) two straight lines
C) perpendicular lines
D) intersecting lines
Q). A 1.5 m tall boy casts 2 m shadow. At the same instance, a lamppost casts a shadow of 10 m. Then the height of the lamppost is
A) 6.5 m
B) 7.5 m
C) 8.5 m
D) None
Q). In the figure, x =
A) 45°
B) 135°
C) 90°
D) 15°
Q). In the figure, x =
A) 100°
B) 90°
C) 110°
D) 80°