Straight Line and Pair of Straight Lines Test

Result

Straight Line and Pair of Straight Lines Test - 65

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Weekly Quiz Competition

Question 1
4 / -1

The distance of the point of intersection of the lines 2x – 3y + 5 = 0 and 3x + 4y = 0 from the line 5x – 2y = 0 is

A

B

C

D
None of these

Solution
Question 2
4 / -1

A

B

C

D

Solution
Question 3
4 / -1

A

B

C

D

Solution
Question 4
4 / -1

The distance between the parallel lines y = x + a, y = x + b is

A

B

C

D

Solution
Question 5
4 / -1

The equations of two equal sides of an isosceles triangle are 7x – y + 3 = 0 and x + y – 3 = 0 the third side passes through the point (1, –10). The equation of the third side is

A
x – 3y – 31 = 0 but not 3x + y + 7 = 0

B
3x + y + 7 = 0 but not x – 3y – 31 = 0

C
3x + y + 7 = 0 or x – 3y – 31 = 0

D
Neither 3x + y + 7 = 0 nor x – 3y – 31 = 0

Solution
Question 6
4 / -1

The graph of the function cos x cos (x + 2) – cos² (x + 1) is

A
A straight line passing through (0, – sin² 1) with slope 2

B
A straight line passing through (0, 0)

C
A parabola with vertex (1, – sin²1)

D

Solution
Question 7
4 / -1

A

B

C

D

Solution
Question 8
4 / -1

A

B

C

D

Solution
Question 9
4 / -1

Lines L₁ : y – x = 0 and L₂ : 2x + y = 0 intersect the line L₃ : y + 2 = 0 at P and Q respectively. The bisector m, of the; acute angle between L₁ and L₂ intersects L₃ at R.
Statement 1 : The ratio PR : RQ equals 2√2 : √5.
BecauseStatement 2 : In any triangle, bisector of an angle divides the triangle into two similar triangle.

A
Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1

B
Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1

C
Statement 1 is true, statement 2 is false

D
Statement 1 is false, statement 2 is true

Solution
Question 10
4 / -1

A
A → s, B → p,q, C → r, D → p,q,s

B
A → q, B → p, C → r, D → p,s

C
A → p, B → q, C → r, D → q,s

D
A → s, B → p,s, C → r, D → p,q

Solution