Join Sarthaks eConnect Today - Largest Online Education Community!
0 votes
10 views
asked ago in Mathematics by (53.5k points)

TP and TQ are tangents to parabola y2 = 8x and normals at P and Q intersect at a point R on the parabola. The locus of circumcentre of ΔTPQ is a parabola whose -

(A)  Vertex is (2, 0)

(B) foot of perpendicular from focus on the directrix is (7/4 , 0)

(C)  length of latus rectum is 1

(D) focus is (9/4, 0)

1 Answer

+1 vote
answered ago by (20.7k points)
selected ago by
 
Best answer

Correct option  (A)(B)(C)(D)

Explanation:

t1 t2 = 2 and t1 + t2 + t3 = 0 and a = 2

∴ Let circumcentre of  Let circumcentre of  ΔTPQ be O(h,k) O(h, k) will be mid point of RT

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

One Thought Forever

“There is a close connection between getting up in the world and getting up in the morning.“
– Anon
~~~*****~~~

Categories

...