## Conic Section Quiz-11

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. An ellipse having foci at (3,3) and (-4,4) and passing through the origin has eccentricity equal to
•  3/7
•  2/7
•  5/7
•   3/5
Solution
Q2. The auxiliary circle of a family of ellipse passes through origin and makes intercept of 8 and 6 units on the x-axis and the y-axis, respectively. If eccentricity of all such family of ellipse is 1/2, then locus of the focus will be
•
•
•
•  None of these
Solution
Q3.
•  (p/2,p)or (p/2,-p)
•  (p/2,-p/2)
•  (-p/2,p)
•  (-p/2,-p/2)
Solution

Q4.
•
•
•
•
Solution
Q5. Consider a square ABCD of side length 1. Let P be the set of all segments of length 1 with end points on adjacent sides of square ABCD. The midpoints of segments in P enclose a region with area A, the value of A is
•  Ï€/4
•   1-Ï€/4
•  4-Ï€/4
•  None of these
Solution
Q6.
•  >√3
•   < 1/√3
•  >√2
•  >1/√3
Solution
Q7.
•  Î»>0
•  Î»<0
•  Î»>1
•  None of these
Solution
Q8.
•  e' is independent of e
•  e'=1
•  e'=e
•  e'=1/e
Solution
Q9.
•   A straight line
•  A hyperbola
•  An ellipse
•  A circle
Solution
Q10.
•  |t|<2
•  |t|<1
•  |t|<1
•  None of these

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Conic Section Quiz-11