Straight Line and Pair of Straight Lines Test

Result

Straight Line and Pair of Straight Lines Test - 26

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Weekly Quiz Competition

Question 1
4 / -1

The perpendicular bisector of the line segment joining P(1,4) and Q(k,3) has y-intercept -4. Then a possible value of k is

A
2

B
–2

C
–4

D
1

Solution
Question 2
4 / -1

A
Circle

B
Pair of straight lines

C
Parabola

D
Ellipse

Solution
Question 3
4 / -1

A

B

C

D

Solution
Question 4
4 / -1

If the pair of straight lines xy – x – y + 1 = 0 and the line ax + 2y – 3 = 0 are concurrent , then a =

A
–1

B
0

C
3

D
1

Solution
Question 5
4 / -1

The area of the triangle formed by the line 4x² – 9xy – 9y² = 0 and x = 2 is

A
2

B
3

C

D

Solution
Question 6
4 / -1

If the pair of straight lines given by Ax² + 2Hxy + By² = 0, (H² > AB) forms an equilateral triangle with line ax + by + c = 0, then (A + 3B) (3A + B) is

A
H²

B
–H²

C
2H²

D
4H²

Solution
Question 7
4 / -1

If the bisectors of the lines x² – 2pxy – y² = 0 be x² – 2qxy – y² = 0, then

A
pq + 1 = 0

B
pq – 1 = 0

C
p + q = 0

D
p – q = 0

Solution
Question 8
4 / -1

The pair of lines represented by 3ax² + 5xy + (a² – 2)y² = 0 are perpendicular to each other for

A
Two values of a

B

C
For one value of a

D
For no value of a

Solution
Question 9
4 / -1

The equation x² – 3xy + λy² + 3x – 5y + 2 = 0 when λ is a real number, represents a pair of straight lines. If θ is the angle between the lines, then cosec² θ is equal to

A
3

B
9

C
10

D
100

Solution
Question 10
4 / -1

The circumcentre of the triangle formed by the lines xy + 2x + 2y + 4 = 0 and x + y + 2 = 0

A
(0,0)

B
(– 2, – 2)

C
(– 1, – 1)

D
(– 1, – 2)

Solution