1
MHT CET 2026 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The symmetric form of the equation of the line $x = ay + b$, $z = cy + d$ is
A
$\dfrac{x - a}{b} = y = \dfrac{z - c}{d}$
B
$\dfrac{x - b}{a} = \dfrac{y - d}{c} = z$
C
$x = \dfrac{y - a}{b} = \dfrac{z - c}{d}$
D
$\dfrac{x - b}{a} = y = \dfrac{z - d}{c}$
2
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The co-ordinates of the point in which line joining $(1,1,1)$ and $(2,2,2)$ intersects the plane $x+y+\mathrm{z}=9$ are

A

$(3,4,2)$

B

$(2,3,4)$

C

$(3,2,4)$

D

$(3,3,3)$

3
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of plane passing through $(1,0,0)$ and $(0,1,0)$ and making an angle $45^{\circ}$ with the plane $x+y-3=0$ is

A

$x+y \pm \sqrt{2} z-1=0$

B

$3 x+y \pm \sqrt{3} z-3=0$

C

$\quad x+y \pm \sqrt{3} z-1=0$

D

$\quad 2 x+2 y \pm \sqrt{3} z-2=0$

4
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The distance of the point $(5,3,-1)$ from the plane passing through points $(2,1,0),(3,-2,4)$ and $(1,-3,3)$ is

A

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

B

$\frac{4}{\sqrt{3}}$ units

C

$\sqrt{3}$ units

D

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

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