MHT CET 2026 20th April Morning Shift | Straight Lines and Pair of Straight Lines Question 3 | Mathematics

The area of a triangle formed by a line with the coordinate axes is $49$ sq. units. If the perpendicular drawn from the origin to this line makes an angle of $45^\circ$ with the positive X-axis, then the equation of line is....

$x + y = 7$

$x + y = 7\sqrt{2}$

$x + y = \sqrt{2}$

$x + y = 2$

MHT CET 2026 20th April Morning Shift

MCQ (Single Correct Answer)

-0

If the equation $16x^2 - 24xy + 9y^2 - 8x + 6y - 35 = 0$ represents a pair of straight lines, then the equation of the locus of points equidistant from these two lines is..........

$4x - 3y - 1 = 0$

$4x - 3y + 1 = 0$

$8x - 6y - 1 = 0$

$8x - 6y + 1 = 0$

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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