If equation of tangent at P, Q and vertex A of a parabola are 3x + 4y – 7 = 0, 2x + 3y –…
Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry
If equation of tangent at P, Q and vertex A of a parabola are 3x + 4y – 7 = 0, 2x + 3y – 10 = 0 and x – y = 0 respectively, then
- focus is (4, 5)
- length of latus rectum is \(2 \sqrt{2}\)
- axis is x + y – 9 = 0
- vertex is \(\left(\frac{9}{2}, \frac{9}{2}\right)\)
Answer
(A) focus is (4, 5), (B) length of latus rectum is 2 2, (C) axis is x + y – 9 = 0, (D) vertex is ( 9 2 , 9 2 )
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