MHT-CET

Pair of Lines question bank (Mathematics)

Practice 136 free MHT-CET Mathematics - Pair of Lines questions with answers and step-by-step solutions.

Q1.

If the equation $x^{2}-3 x y+\lambda y^{2}+3 x-5 y+2=0$ represents a pair of lines, where $\lambda$ is real number and $\theta$ is angle between them, then value of $\operatorname{cosec}^{2} \theta$ is

(A)
10
(B)
3
(C)
9
(D)
$\frac{1}{3}$
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Q2.

The line 5x+y-1=0 coincides with one of the lines given by 5x2+xy-kx-2y+2=0 then the value of k is

(A)
-11
(B)
31
(C)
11
(D)
-31
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