Straight Line and Pair of Straight Lines Test

Result

Straight Line and Pair of Straight Lines Test - 50

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Weekly Quiz Competition

Question 1
4 / -1

The distance between the pair of parallel lines x² + 2xy + y² – 8ax – 8ay – 9a² = 0 is

A

B

C
10a

D

Solution
Question 2
4 / -1

Two lines are given by (x – 2y)² + k(x – 2y) = 0. The value of k so that the distance between them is 3, is

A

B

C

D
None of these

Solution
Question 3
4 / -1

The pair of straight lines joining the origin to the points of intersection of the line y = 2√2 x + c and the circle x² + y² = 2 are at right angles, if

A
c² – 4 = 0

B
c² – 8 = 0

C
c² – 9 = 0

D
c² – 10 = 0

Solution
Question 4
4 / -1

The equation of pair of lines joining origin to the points of intersection of x² + y² = 9 and x + y = 3 is

A
(x + y)² = 9

B
x² + (3 – x)² = 9

C
xy = 0

D
(3 – x)² + y² = 9

Solution
Question 5
4 / -1

The equation of the bisectors of the angle between lines represented by equation 4x² – 16xy – 7y² = 0 is

A

B

C

D

Solution
Question 6
4 / -1

If y = mx be one of the bisectors of the angle betweem the lines ax² - 2hxy + by² = 0 ,is

A
h(1 + m²) + m (a – b) = 0

B
h(1 – m²) + m (a + b) = 0

C
h(1 – m²) + m (a – b) = 0

D
h(1 + m²) + m (a + b) = 0

Solution
Question 7
4 / -1

If the bisectors of the angles between the pairs of lines given by the equation ax² + 2hxy + by² = 0 and ax² + 2hxy + by² + λ(x² + y²) = 0 be coincident, then λ =

A
a

B
b

C
h

D
Any real number

Solution
Question 8
4 / -1

If r(1 – m²) + m(p – q) = 0, then a bisector of the angle between the lines represented by the equation px² – 2rxy + qy² = 0, is

A
y = x

B
y = –x

C
y = mx

D
my = x

Solution
Question 9
4 / -1

If the equation ax² + 2hxy + by² = 0 has the one line as the bisector of angle between the co-ordinates axes, then

A
(a – b)² = h²

B
(a + b)² = h²

C
(a – b)² = 4h²

D
(a + b)² = 4h²

Solution
Question 10
4 / -1

If the bisectors of the angles of the lines represented by 3x² – 4xy + 5y² = 0 and 5x² + 4xy + 3y² = 0 are same, then the angle made by the lines represented by first with the second, is

A
30^o

B
60^o

C
45^o

D
90^o