Q.

The angle between the pair of tangents from the point(1,2) to the ellipse 3x2+2y2=5 is

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

tan−1⁡125

b

tan−1⁡65

c

tan−1⁡125

d

tan−1⁡(125)

answer is C.

(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

The combined equation of the pair of tangents drawn from(1,2) to the ellipse 3x2+2y2=5 is 3x2+2y2−5(3+8−5)=(3x+4y−5)2  Using SS′=T2⇒ 9x2−24xy−4y2+…=0 If angle between these lines is θ , then tan⁡θ=2h2−aba+b ,  where a=9,h=−12,b=−4⇒ tan⁡θ=125⇒ θ=tan−1⁡125
Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon