JEE MATHEMATICS MCQ: DCS AND DRS

1 Easy

1 of 1

Application +4 | -1

There is a point

{P}({a}, {a}, {a})

on the line passing through the origin and equally inclined with axes. The equation of the plane perpendicular to

O P

and passing through

P

cuts the intercepts on axes, the sum of whose reciprocals is-

View answer and explanation

Correct option: D

1/a

Option D (

1/a

) is correct because the sum of the reciprocals of the intercepts is equal to the reciprocal of the distance from the origin to the plane.

More Questions from DCS AND DRS

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\frac{2-x}{3}=\frac{3 y-2}{4 \lambda+1}=4-z

\frac{x+3}{3 \mu}=\frac{1-2 y}{6}=\frac{5-z}{7},

4 \lambda+9 \mu

\frac{x}{2}=\frac{y}{2}=\frac{z}{1}

\frac{x+2}{-1}=\frac{y-4}{8}=\frac{z-5}{4}

4 {~m}

2 {~kg}

10 {~kg}

45^{\circ}

60^{\circ}

X

Y

Z

\mathrm{AB}

-2 / \sqrt{17}

3 / \sqrt{17},-2 / \sqrt{17}

\mathrm{AB}=\sqrt{17}

\mathrm{A}

(3,-6,10)

\mathrm{B}

A B

45^{\circ}

120^{\circ}

X

Y

A B

\theta

Z

\theta