Straight Line and Pair of Straight Lines Test

Result

Straight Line and Pair of Straight Lines Test - 28

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Weekly Quiz Competition

Question 1
4 / -1

The equation (x + y)² – (x² + y²) = 0 represents

A
A circle

B
Two lines

C
Two parallel lines

D
Two mutually perpendicular lines
Question 2
4 / -1

Two lines represented by equation x² + xy + y² = 0 are

A
Coincident

B
Parallel

C
Mutually perpendicular

D
Imaginary

Solution
Question 3
4 / -1

If the equation hxy + gx + fy + c = 0 represents a pair of straight lines, then

A
fh = cg

B
fg = ch

C
h² = gf

D
fgh = c

Solution
Question 4
4 / -1

The values of h for which the equation 3x² + 2hxy – 3y² – 40x + 30y – 75 = 0 represents a pair of straight lines, are

A
4, 4

B
4, 6

C
4, –4

D
0, 4

Solution
Question 5
4 / -1

The equation (x – 5)² + (x – 5)(y – 6) –2(y – 6)² = 0 represents

A
A circle

B
Two straight lines passing through origin

C
Two straight lines passing through the point (5, 6)

D
None of these

Solution
Question 6
4 / -1

A second degree homogeneous equation in x and y always represents

A
A pair of straight lines

B
A circle

C
A conic section

D
None of the above
Question 7
4 / -1

If 4ab = 3h², then the ratio of slopes of the lines represented by the equation ax² + 2hxy + by² = 0 will be

A

B

C
2 : 1

D
1 : 3

Solution
Question 8
4 / -1

The lines a² x² + bcy² = a(b + c)xy will be coincident, if

A
a = 0 or b = c

B
a = b or a = c

C
c = 0 or a = b

D
a = b + c

Solution
Question 9
4 / -1

The equation xy + a² = a(x + y) represents

A
A parabola

B
A pair of straight lines

C
An ellipse

D
Two parallel straight lines
Question 10
4 / -1

The equation 2y² – xy – x² + 6x – 8 = 0 represents

A
A pair of straight lines

B
A circle

C
An ellipse

D
A parabola

Solution