Straight Line and Pair of Straight Lines Test

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Straight Line and Pair of Straight Lines Test - 31

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Weekly Quiz Competition

Question 1
4 / -1

The angle between the lines represented by the equation λx² + (1 – λ)² xy – λy² = 0 is

A
30^o

B
45^o

C
60^o

D
90^o

Solution
Question 2
4 / -1

If the sum of the slopes of the lines represented by the equation x² – 2xy tan A – y ² = 0 be 4, then ∠A =

A
0^o

B
45^o

C
60^o

D
tan^–1(–2)

Solution
Question 3
4 / -1

If the equation 12x² + 7xy – py² – 18x + qy + 6 = 0 represents a pair of perpendicular straight lines, then

A
p = 12, q = 1

B
p = 1, q = 12

C
p = –1, q = 12

D
p = 1, q = –12

Solution
Question 4
4 / -1

The angle between the pair of straight lines x² – y² – 2y – 1 = 0, is

A
90^o

B
60^o

C
75^o

D
36^o
Question 5
4 / -1

The equation 12x² + 7xy + ay² + 13x – y + 3 = 0 represents a pair of perpendicular lines.Then the value of \'a\' is

A
7/2

B
–19

C
–12

D
12
Question 6
4 / -1

Pair of straight lines perpendicular to each other represented by

A
2x² = 2y (2x + y)

B
x² + y² + 3 = 0

C
2x² = y(2x + y)

D
x² = 2 (x – y)
Question 7
4 / -1

The angle between the lines x² – xy – 6y² – 7x + 31y – 18 = 0 is

A
45^o

B
60^o

C
90^o

D
30^o

Solution
Question 8
4 / -1

Condition that the two lines represented by the equation ax² + 2hxy + by² = 0 to be perpendicular is

A
ab = –1

B
a = –b

C
a = b

D
ab = 1
Question 9
4 / -1

If in general quadratic equation f(x,y) = 0, ∆ = 0 and a + b = 0, then the equation represents

A
Two parallel straight lines

B
Two perpendicular straight lines

C
Two lines passing through origin

D
None of these
Question 10
4 / -1

The angle between the lines represented by the equation x² – 2pxy + y² = 0, is

A
sec^–1p

B
cos^–1p

C
tan^–1p

D
None of these

Solution

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Re-Attempt Weekly Quiz Competition

Straight Line and Pair of Straight Lines Test - 31

Result

Straight Line and Pair of Straight Lines Test - 31

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Rank

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SHARING IS CARING

Question 1

30o

45o

60o

90o

Solution

Question 2

0o

45o

60o

tan–1(–2)

Solution

Question 3

p = 12, q = 1

p = 1, q = 12

p = –1, q = 12

p = 1, q = –12

Solution

Question 4

90o

60o

75o

36o

Question 5

7/2

–19

–12

12

Question 6

2x2 = 2y (2x + y)

x2 + y2 + 3 = 0

2x2 = y(2x + y)

x2 = 2 (x – y)

Question 7

45o

60o

90o

30o

Solution

Question 8

ab = –1

a = –b

a = b

ab = 1

Question 9

Two parallel straight lines

Two perpendicular straight lines

Two lines passing through origin

None of these

Question 10

sec–1p

cos–1p

tan–1p

None of these

Solution

User

Question Analysis

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30^o

45^o

60^o

90^o

0^o

45^o

60^o

tan^–1(–2)

90^o

60^o

75^o

36^o

2x² = 2y (2x + y)

x² + y² + 3 = 0

2x² = y(2x + y)

x² = 2 (x – y)

45^o

60^o

90^o

30^o

sec^–1p

cos^–1p

tan^–1p