Conic Section Quiz-4

Conic Section Quiz-4

Dear Readers,

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. 

•  (16/3,0)
•  (4, 0)
•  (26/3,0)
•  (6, 0)

Solution

Q2. 

•  Equal to the length of the latus rectum
•  Equal to the focal distance of the point P
•  Equal to twice the focal distance of the point P
•  Equal to the distance of the point P from the directrix

Q3. 

•  10 < d < 2
•  4 < d < 6
•  d < 4
•  None of these

Solution

Q4.   

•  (3√3)/2
•  3√3
•  3
•  √3

Solution

Q5. 

•  45 sec
•  90 sec
•  11 sec
•  135 sec

Solution

Q6. The lines 2x-3y=5 and 3x-4y=7 are diameters of a circle of area 154 sq. units. Then the equation of this circle is

•  
•  
•  
•  
  Solution
  

  
  Q7. 
  •  y=2a
  •  y+2a=c
  •  x=2a
  •  x+2a=0
  
  Q8. 
  •  2
  •  -2
  •  -1
  •  None of these
  Solution
  

  
  Q9.The chords of contact of a point ‘P’ w.r.t. a hyperbola and its auxiliary circle are at right angle, then the point P lies on

  •  conjugate hyperbola
  •  one of the directrix
  •  one of the asymptotes
  •  none of these

  Solution
  

  
  Q10.
  •  Directrix
  •  Axis
  •  Tangent at vertex
  •  none of these
  Solution