## Conic Section Quiz-5

In JEE exams, Conic section is one of the most important topic of Mathematics that comes under Coordinate Geometry, it has total of 15 percent weightage out of which 6% questions are asked in JEE mains and 9% in Advance.

Q1.
•  4
•  3
•  √12
•  7/2
Solution
Q2. For a hyperbola whose centre is at (1, 2) and asymptotes are parallel to lines 2x+3y=0 and x+2y=1, then equation of hyperbola passing through (2, 4) is
•  (2x+3y-5)(x+2y-8)=40
•  (2x+3y-8)(x+2y-5)=40
•  (2x+3y-8)(x+2y-5)=30
•  None of these
Q3.
•  5y-3x-25=0
•  3x+5y+25=0
•  3x-5y-25=0
•  None of these
Solution

Q4.   The end points of two normal chords of a parabola are concyclic, then the tangents at the feet of the normals will intersect at
•  Tangent at vertex of the parabola
•  Axis of the parabola
•  Directrix of the parabola
•  None of these
Solution
Q5.
•  1/3
•  √2/3
•  (2√2)/3
•  1/√3
Solution
Q6.
•   >
•
•
•
Solution
Q7.
•  1/2
•  1/√2
•  1/3
•  1/3√2
Q8.
•  (-2,√6)
•  (-5,2√(6))
•  (1/2,1/√6)
•  (4,-√(6))
Solution
Q9.
•  1
•  2
•  3
•  cannot be decided
Solution
Q10.
•  (-2√2, 2√2)
•  (-∞,-√2)∪(√2,∞)
•  (-∞, -2√2-2)∪(2√2-2,∞)
•  none of these
Solution

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Conic Section Quiz-5