Engineer & Medical

Pair of Lines question bank (Maths)

Practice 463 free Engineer & Medical Maths - Pair of Lines questions with answers and step-by-step solutions.

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Q1.

If the angle made by the lines represented by the equation $ax^2 + 2hxy + by^2 = 0$ with X-axis are $\alpha$ and $\beta$, then $\tan(\alpha + \beta)$ is

(A)

$\dfrac{h}{a + b}$

(B)

$\dfrac{2h}{a - b}$

(C)

$\dfrac{2h}{a + b}$

(D)

$\dfrac{h}{a - b}$

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Q2.

The pair of straight lines represented by the equation $\sqrt{3}x^2 - 4xy + \sqrt{3}y^2 = 0$ are

(A)

coincident.

(B)

perpendicular.

(C)

inclined at $30^\circ$ to each other.

(D)

inclined at $60^\circ$ to each other.

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