Straight Line and Pair of Straight Lines Test

Result

Straight Line and Pair of Straight Lines Test - 40

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Weekly Quiz Competition

Question 1
4 / -1

If (–2, 6) is the image of the point (4,2) with respect to line L = 0, then L =

A
3x – 2y + 5

B
3x – 2y + 10

C
2x + 3y – 5

D
6x – 4y – 7

Solution
Question 2
4 / -1

The point P is the intersection of the straight line joining the points Q(2,3,5) and P(1,–1,4) with the plane 5x – 4y – z = 1. If S is the foot of the perpendicular drawn from the point T(2,1,4) to QR, then the length of the line segment PS is

A

B

C
2

D

Solution
Question 3
4 / -1

A

B

C

D
None of these

Solution
Question 4
4 / -1

A

B

C

D
0
Question 5
4 / -1

The triangle formed by the lines x + y – 4 = 0, 3x + y = 4, x + 3y = 4 is

A
Isoscles

B
Equilateral

C
Right angled

D
None of these

Solution
Question 6
4 / -1

The area of a parallelogram formed by the lines ax ± by ± c = 0, is

A

B

C

D
None of these

Solution
Question 7
4 / -1

A point moves so that square of its distance from the point (3,-2) is numerically equal to its distance from the line 5x – 12y = 13. The equation of the locus of the point is

A
13x² + 13y² – 83x + 64y + 182 = 0

B
x² + y² – 11x + 16y + 26 = 0

C
x² + y² – 11x + 16y = 0

D
None of these

Solution
Question 8
4 / -1

Locus of the points which are at equal distance from 3x + 4y – 11 = 0 and 12x + 5y + 2 = 0 and which is near the origin is

A
21x – 77y + 153 = 0

B
99x + 77y – 133 = 0

C
7x – 11y = 19

D
None of these

Solution
Question 9
4 / -1

A point moves such that its distance from the point (4,0) is half that of its distance from the line x = 16. The locus of this point is

A
3x² + 4y² = 192

B
4x² + 3y² = 192

C
x² + y² = 192

D
None of these

Solution
Question 10
4 / -1

If the sum of the distances of a point from two perpendicular lines in a plane is 1, then its locus is

A
Square

B
Circle

C
Straight line

D
Two intersecting lines

Solution