Straight Line and Pair of Straight Lines Test

Result

Straight Line and Pair of Straight Lines Test - 53

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Weekly Quiz Competition

Question 1
4 / -1

The pair of straight lines passing through the point (1, 2) and perpendicular to the pair of straight lines 3x² – 8xy + 5y² = 0, is

A
(5x + 3y + 11) (x + y + 3) = 0

B
(5x + 3y – 11) (x + y – 3) = 0

C
(3x + 5y – 11) (x + y + 3) = 0

D
(3x – 5y + 11) (x + y – 3) = 0
Question 2
4 / -1

If in general quadratic equation f(x, y) = 0, ∆ = 0 and h² = ab, then the equation represents

A
Two parallel straight lines

B
Two perpendicular straight lines

C
Two coincident lines

D
None of these
Question 3
4 / -1

The condition of representing the coincident lines by the general quadratic equation f(x,y) = 0, is

A
∆ = 0 and h² = ab

B
∆ = 0 and a + b = 0

C
∆ = 0 and h² = ab, g² = ac, f² = bc

D
h² = ab, g² = ac and f² = bc
Question 4
4 / -1

The joint equation of the straight lines x + y = 1 and x – y = 4, is

A
x² – y² = –4

B
x² – y² = 4

C
(x + y – 1)(x – y – 4) = 0

D
(x + y + 1)(x – y + 4) = 0
Question 5
4 / -1

The equation to the pair of straight lines through the origin which are perpendicular to the lines 2x² – 5xy + y² = 0, is

A
2x² + 5xy + y² = 0

B
x² +2y² + 5xy = 0

C
x² – 5xy + 2y² = 0

D
2x² + y² – 5xy = 0
Question 6
4 / -1

The area of the triangle formed by the lines x² – 4y² = 0 and x = a, is

A
2a²

B

C

D

Solution
Question 7
4 / -1

The value of λ, for which the equation x² – y² – x – λy – 2 = 0 represents a pair of straight lines, are

A
3, –3

B
–3, 1

C
3, 1

D
–1, 1

Solution
Question 8
4 / -1

If the lines represented by the equation ax² – bxy – y² = 0 make angles α and β with the x-axis, then tan (α + β )

A

B

C

D
None of these

Solution
Question 9
4 / -1

A

B

C

D

Solution
Question 10
4 / -1

The angle between the lines represented by the equation 4x² – 24xy + 11y² = 0 are

A

B

C

D

Solution