MHT CET 2026 20th April Evening Shift | Straight Lines and Pair of Straight Lines Question 1 | Mathematics

A straight line makes equal negative intercepts on the coordinate axes. If the perpendicular distance from the origin to the line is 4 units, then the equation of the line is ......

$x + y + 4 = 0$

$x + y + 4\sqrt{2} = 0$

$x - y + 4 = 0$

$x - y + 4\sqrt{2} = 0$

MHT CET 2026 20th April Evening Shift

MCQ (Single Correct Answer)

-0

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

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

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

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

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

MHT CET 2026 20th April Morning Shift

MCQ (Single Correct Answer)

-0

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..........

$4x - 3y - 1 = 0$

$4x - 3y + 1 = 0$

$8x - 6y - 1 = 0$

$8x - 6y + 1 = 0$

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