Book Online Demo
Check Your IQ
Try Test

Courses

Dropper NEET CourseDropper JEE CourseClass - 12 NEET CourseClass - 12 JEE CourseClass - 11 NEET CourseClass - 11 JEE CourseClass - 10 Foundation NEET CourseClass - 10 Foundation JEE CourseClass - 10 CBSE CourseClass - 9 Foundation NEET CourseClass - 9 Foundation JEE CourseClass -9 CBSE CourseClass - 8 CBSE CourseClass - 7 CBSE CourseClass - 6 CBSE Course

Q.

If a circle of radius 3 units is touching the lines 3 y 2 −4xy+ 3 x 2 =0   in the first quadrant then the length of chord of contact to this Circle , 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

3 +1 2  

b

3 3 +1 2  

c

3 +1 2  

d

3 ( 3 +1) 2    

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

(3) Given equation of lines 3 y 2 −4xy+ 3 x 2 =0  
⇒ 3 y 2 −3xy−xy+ 3 x 2 =0 ⇒( 3 y−x)(y− 3 x)=0 ⇒y= x 3 ,y= 3 x∴∠AP0= 75 ∘  
In ∠AMP,sin 75 ∘ = AM 2 ⇒AM=3sin 75 ∘  
Now ,length of chord of contact AB=2AM
2 3sin 75 ∘ =6sin 75 ∘  
Question Image  
Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

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
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
whats app icon