Q.

A line having direction ratios ⟨3,4,5⟩ cuts two planes 2x−3y+6z−12=0 and  2x−3y+6z+2=0 at point P and at  point  Q then the length of PQ

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

35212

b

35224

c

3526

d

3528

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

If θ is acute angle between the line having direction ratios ⟨3,4,5⟩ and  the planes given, and the perpendicular distance PM from P to the plane  2x−3y+6z−12=0 then sinθ=PMPQHere it implies that sinθ=al+bm+cna2+b2+c2l2+m2+n2 and PM=ax1+by1+cz1+da2+b2+c23(2)+4(−3)+5(6)9+16+25⋅4+9+36=12+24+9+36PQ245049=2PQPQ=35212
Watch 3-min video & get full concept clarity
Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
whats app icon
A line having direction ratios ⟨3,4,5⟩ cuts two planes 2x−3y+6z−12=0 and  2x−3y+6z+2=0 at point P and at  point  Q then the length of PQ