Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Parabola question

2004 · Shift 0 · Q112
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Parabola
  5. /2004 · Shift 0 · Q112

Parabola question

2004 · Shift 0 · Q112

JEE MainMathematicsParabolaMCQ+4 / −1
If ae0a e 0ae0 and the line 2bx+3cy+4d=02bx+3cy+4d=02bx+3cy+4d=0 passes through the points of intersection of the parabolas y2=4ax{y^2} = 4axy2=4ax and x2=4ay{x^2} = 4ayx2=4ay, then :
  1. A
    d2+(3b−2c)2=0{d^2} + {\left( {3b - 2c} \right)^2} = 0d2+(3b−2c)2=0
  2. B
    d2+(3b+2c)2=0{d^2} + {\left( {3b + 2c} \right)^2} = 0d2+(3b+2c)2=0
  3. C
    d2+(2b−3c)2=0{d^2} + {\left( {2b - 3c} \right)^2} = 0d2+(2b−3c)2=0
  4. D
    d2+(2b+3c)2=0{d^2} + {\left( {2b + 3c} \right)^2} = 0d2+(2b+3c)2=0
Previous

More from Parabola

  • Let the focal chord PQ of the parabola y2=4x make an angle of 60∘ with the positive x axis, where P lies in the first quadrant. If the circle, whose one diameter is PS, S being the focus of the parabola, touches the y-axis…2025 · MCQ
  • Let the point P of the focal chord PQ of the parabola y2=16x be (1,−4). If the focus of the parabola divides the chord PQ in the ratio m:n,gcd(m,n)=1, then m2+n2 is equal to :2025 · MCQ
  • The radius of the smallest circle which touches the parabolas y=x2+2 and x=y2+2 is2025 · MCQ
  • A line passing through the point A(−2,0), touches the parabola P:y2=x−2 at the point B in the first quadrant. The area, of the region bounded by the line AB, parabola P and the x-axis, is :2025 · MCQ
  • The axis of a parabola is the line y=x and its vertex and focus are in the first quadrant at distances 2​ and 22​ units from the origin, respectively. If the point (1,k) lies on the parabola, then a possible value of…2025 · MCQ
  • Let P be the parabola, whose focus is (−2,1) and directrix is 2x+y+2=0. Then the sum of the ordinates of the points on P, whose abscissa is − 2, is2025 · MCQ
  • Let r be the radius of the circle, which touches x- axis at point (a,0),a<0 and the parabola y2=9x at the point (4,6). Then r is equal to ​.2025 · Numerical
  • Let the parabola y=x2+px−3, meet the coordinate axes at the points P,Q and R . If the circle C with centre at (−1,−1) passes through the points P,Q and R, then the area of △PQR is :2025 · MCQ