JEE MATHEMATICS MCQ: 3D GEOMETRY SYSTEM

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Application +4 | -1

If the distance between the points

P\left( {a\cos 48^\circ ,0} \right)

and

Q\left( {0,a\cos 12^\circ } \right)

d,

then

{d^2} - {a^2} =

View answer and explanation

Correct option: D

\frac{{{a^2}}}{8}\left( {\sqrt 5 + 1} \right)

The correct answer is D

\frac{{{a^2}}}{8}\left( {\sqrt 5 + 1} \right)

because it is obtained by using the distance formula and trigonometric identities to simplify the expression.

More Questions from 3D GEOMETRY SYSTEM

Practice All Chapter MCQs →

\left( { - 10,\;8} \right)

\left( { - 6,\;12} \right)

\left( {4,\; - 2} \right)

\left( { - 2,\;4} \right)

y z

(1,-2,4)

(3,-4

5)

p

2 x+y-3=0

3 x-y-2=0

x-p y+5=0

O\left( {0,0} \right),A\left( {a,0} \right)

B\left( {0,a} \right).

A(1,0,3)

B(4,7,1)

C(3,5,3)

\frac{x}{1}=\frac{y}{2}=\frac{z}{3}, \frac{x}{2}=\frac{y}{1}=\frac{z}{3}

\frac{x-1}{1}=\frac{2-y}{2}, z=3