Straight Line and Pair of Straight Lines Test

Result

Straight Line and Pair of Straight Lines Test - 60

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Weekly Quiz Competition

Question 1
4 / -1

Two consecutive sides of a parallelogram are 4x + 5y = 0 and 7x + 2y = 0. If the equation to one diagonal is 11x + 7y = 9, then the equation of the other diagonal is

A
x + 2y = 0

B
2x + y = 0

C
x – y = 0

D
None of these

Solution
Question 2
4 / -1

One diagonal of a square is along the line 8x – 15y = 0 and one of its vertex is (1,2). Then the equation of the sides of the square passing through this vertex, are

A
23x + 7y = 9, 7x + 23y = 53

B
23x – 7y + 9 = 0, 7x + 23y + 53 = 0

C
23x – 7y – 9 = 0, 7x + 23y – 53 = 0

D
None of the above

Solution
Question 3
4 / -1

A

B

C

D
None of these

Solution
Question 4
4 / -1

The equation of the line which makes right angled triangle with axes whose area is 6 sq. units and whose hypothenuse it of 5 units, is

A

B

C

D

Solution
Question 5
4 / -1

A(–1,1), B(5,3) are opposite vertices of a square in xy-plane. The equation of the other diagonal [not passing through (A.B)] of the square is given by

A
x – 3y + 4 = 0

B
2x – y + 3 = 0

C
y + 3x – 8 = 0

D
x + 2y – 1 = 0

Solution
Question 6
4 / -1

Equations of diagonals of square formed by lines x = 0, y = 0, x = 1 and y = 1 are

A
y = x, y + x = 1

B
y = x, x + y = 2

C
2y = x, y + x = 1/3

D
y = 2x, y + 2x = 1

Solution
Question 7
4 / -1

A

B

C

D
None of these

Solution
Question 8
4 / -1

A

B

C

D

Solution
Question 9
4 / -1

A
The same straight line u

B
Different straight line

C
It is not a straight line

D
None of the above

Solution
Question 10
4 / -1

For what values of a and b the intercepts cut off on the coordinate axes by the line ax + by + 8 = 0 are equal in the length but opposite in signs to those cut off by the line 2x – 3y + 6 = 0 on the axes ?

A

B

C

D

Solution