MHT CET 2026 15th April Morning Shift | Straight Lines and Pair of Straight Lines Question 27 | Mathematics

If $\theta$ is the acute angle between the lines represented by the equation $x^2 - 3xy + 2y^2 = 0$, then $\dfrac{3\sin\theta + 2\cos\theta}{3\sin\theta - 2\cos\theta} = $

$-\dfrac{1}{2}$

$\dfrac{1}{2}$

$-3$

$3$

MHT CET 2026 15th April Morning Shift

MCQ (Single Correct Answer)

-0

The triangle formed by the lines $2x^2 - 3xy - 2y^2 = 0$ and $3x - y = 7$ is...

Right angled but not isosceles

isosceles with base angle $30^\circ$

Right angled with one angle $60^\circ$

Right angled isosceles

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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