MHT CET 2026 19th April Morning Shift | Straight Lines and Pair of Straight Lines Question 7 | Mathematics

A straight line L passes through the point of intersection of the lines $x - y + 1 = 0$ and $2x + y - 7 = 0$. If L intersects the positive x-axis at $A(a, 0)$ and the positive y-axis at $B(0, b)$, then the minimum area of the triangle $OAB$ (where $O$ is the origin) is ....

$6$ square units.

$12$ square units.

$24$ square units.

$48$ square units.

MHT CET 2026 19th April Morning Shift

MCQ (Single Correct Answer)

-0

If the combined equation of angle bisectors of the lines $x^2 - 2pxy - y^2 = 0$ is $x^2 - 2qxy - y^2 = 0$, then which of the following is true?

$2p + q = 0$

$2p + 3q = 0$

$pq = 1$

$pq + 1 = 0$

MHT CET 2025 5th May Evening Shift

MCQ (Single Correct Answer)

-0

If the line $3 x+4 y-24=0$ intersects X and Y axes in points A and B respectively then incentre of the triangle OAB where O is origin is

$(4,4)$

$(2,2)$

$(3,4)$

$(4,3)$

MHT CET 2025 5th May Evening Shift

MCQ (Single Correct Answer)

-0

The equation $x^2-3 x y+2 y^2+3 x-5 y+2=0$ represents a pair of straight lines. If $\theta$ is the angle between them, then the value of $\cos \theta$ is equal to

$\frac{1}{3 \sqrt{2}}$

$\frac{3}{\sqrt{10}}$

$\frac{2}{\sqrt{10}}$

$\frac{1}{5 \sqrt{2}}$

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