MHT CET 2026 19th April Evening Shift | Three Dimensional Geometry Question 12 | Mathematics

Let $\vec{r} \cdot (3\hat{i} - 2\hat{j} + 7\hat{k}) = 32$ is the equation of a plane and the line having direction ratios $(5, b, 3)$ is parallel to the plane, then the value of b is...

$b = 13$

$b = 15$

$b = 16$

$b = 18$

MHT CET 2026 19th April Evening Shift

MCQ (Single Correct Answer)

-0

A line passing through the points $(1, -1, 2)$ and $(2, 0, 1)$ meets the XY plane and the YZ plane at points A and B respectively. The distance AB is equal to...

$2\sqrt{2}$

$2\sqrt{3}$

$3\sqrt{2}$

$3\sqrt{3}$

MHT CET 2026 19th April Morning Shift

MCQ (Single Correct Answer)

-0

The plane $\dfrac{x}{2} + \dfrac{y}{3} + \dfrac{z}{4} = 1$ cuts the axes at the points A, B, C then the area of triangle ABC is

$\sqrt{29}$

$\sqrt{41}$

$\sqrt{61}$

$\sqrt{51}$

MHT CET 2026 19th April Morning Shift

MCQ (Single Correct Answer)

-0

From a point P $(a, b, c)$, perpendiculars PA and PB are drawn to XY plane and ZX plane respectively. If O is the origin, then the equation of plane OAB is

$\dfrac{x}{a} - \dfrac{y}{b} - \dfrac{z}{c} = 0$

$\dfrac{x}{a} - \dfrac{y}{b} + \dfrac{z}{c} = 0$

$\dfrac{x}{a} + \dfrac{y}{b} - \dfrac{z}{c} = 0$

$\dfrac{x}{a} + \dfrac{y}{b} + \dfrac{z}{c} = 0$

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