Straight Line and Pair of Straight Lines Test

Result

Straight Line and Pair of Straight Lines Test - 23

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
4 / -1

Image of the point (–1, 3) w.r.t. the line y = 2x is

A
(–1, –5)

B
(1,3)

C
(3,1)

D
(5,1)

Solution
Question 2
4 / -1

If the extremities of the base of an isosceles triangle are the points (2a,0) and (0,a) and the equation of one of the sides is x = 2a, then the areas of the triangle is

A
5a² sq.units

B

C

D
None of these

Solution
Question 3
4 / -1

The equation to the sides of a triangle are x – 3y = 0, 4x + 3y = 5 and 3x + y = 0. Then line 3x – 4y = 0 passes through

A
The incentre

B
The centroid

C
The circumcentre

D
The orthocentre of the triangle
Question 4
4 / -1

Two lines are drawn through (3,4) , each of which makes angle of 45^o with the line x – y = 2, then area of the triangle formed by these lines is

A
9

B

C
2

D

Solution
Question 5
4 / -1

The area of the triangle formed by the line x sin α + y cos α = sin 2α and the coordinates axes is

A
sin 2α

B
cos 2α

C
2 sin 2α

D
2 cos 2α

Solution
Question 6
4 / -1

The triangle formed by x² – 9y² = 0 and x = 4 is

A
Isosceles

B
Equilateral

C
Right angled

D
None of these

Solution
Question 7
4 / -1

The locus of a point so that sum of its distance from two given perpendicular lines is equal to 2 units in first quadrant, is

A
x + y + 2 = 0

B
x + y = 0

C
x – y = 2

D
None of these

Solution
Question 8
4 / -1

If the sum of distance from a point P on two mutually perpendicular straight lines is 1 unit , then the locus of P is

A
A parabola

B
A circle

C
An ellipse

D
A straight line
Question 9
4 / -1

The distance between the lines 3x + 4y = 9 and 6x + 8y =15 is

A

B

C
6

D
None of these

Solution
Question 10
4 / -1

If p and p\' be the distances of origin from the lines x sec α + y cosec α = k and x cos α – y sin α = k cos 2α, then 4p² + p¹²

A
k

B
2k

C
k²

D
2k²

Solution