MHT CET 2026 17th April Evening Shift | Straight Lines and Pair of Straight Lines Question 13 | Mathematics

The line $y = 2x + c$ passes through a point that is equidistant from both the axes and lies in the first quadrant $(x > 0, y > 0)$. Then the value of c is...

$0$

$1$

$2$

$-2$

MHT CET 2026 17th April Evening Shift

MCQ (Single Correct Answer)

-0

If the equation $ax^2 + 4xy - 2y^2 + 4x + 8y + 1 = 0$ represents a pair of straight lines, then the coordinates of their point of intersection are.........

$\left(\dfrac{1}{2}, -\dfrac{3}{2}\right)$

$\left(-\dfrac{3}{2}, \dfrac{1}{2}\right)$

$\left(\dfrac{1}{2}, \dfrac{3}{2}\right)$

$\left(-\dfrac{1}{2}, \dfrac{3}{2}\right)$

MHT CET 2026 17th April Morning Shift

MCQ (Single Correct Answer)

-0

If $A(2, -3)$ and $C(-6, 7)$ are opposite vertices of a rhombus ABCD, then the equation of diagonal BD is

$5x - 4y + 2 = 0$

$5x + 4y + 2 = 0$

$4x - 5y + 18 = 0$

$4x + 5y + 18 = 0$

MHT CET 2026 17th April Morning Shift

MCQ (Single Correct Answer)

-0

The measure of the acute angle between the pair of lines $2x^2 + xy - y^2 - x + 2y - 1 = 0$ is:

$\tan^{-1}\dfrac{1}{3}$

$\tan^{-1}1$

$\cos^{-1}\dfrac{1}{\sqrt{10}}$

$\cos^{-1}\sqrt{10}$

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