Home
Class 12
MATHS
The equation of the parabola whose verte...

The equation of the parabola whose vertex and focus lie on the axis of `x` at distances `a` and `a_1` from the origin, respectively, is (a) `y^2-4(a_1-a)x` (b) `y^2-4(a_1-a)(x-a)` (c) `y^2-4(a_1-a)(x-a)` (d) ` n o n e `

A

`y^2=4(a_1-a)x`

B

`y^2=4(a_1-a)(x-a)`

C

`y^2=4(a_1-a)(x-a_1)`

D

`y^2=4aa_1x`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|14 Videos
  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|24 Videos
  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|25 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

Prove that the equation of the parabola whose vertex and focus are on the X-axis at a distance a and a'from the origin respectively is y^2=4(a'-a)(x-a)

The capacitance of the capacitors of plate areas A_1 and A_2(A_1 lt A_2) at a distance d is

The capacitance of capacitor of plate areas A_1 and A_2 ( A_1 ltA_2 at a distance d is

The axis of a parabola is along the line y=x and the distance of its vertex and focus from the origin are sqrt(2) and 2sqrt(2) , respectively. If vertex and focus both lie in the first quadrant, then the equation of the parabola is (a) (x+y)^2=(x-y-2) (b) (x-y)^2=(x+y-2) (c) (x-y)^2=4(x+y-2) (d) (x-y)^2=8(x+y-2)

If the equation of the locus of a point equidistant from the points (a_1,b_1) and (a_2,b_2) is (a_1-a_2)x+(b_2+b_2)y+c=0 , then the value of C is

If the equation of the locus of a point equidistant from the points (a_1, b_1) and (a_2, b_2) is (a_1-a_2)x+(b_1-b_2)y+c=0 , then find the value of c .

Let f(x)=(sqrt2^x -2)/(sqrt2^x +2) then if the graphs of y=f(x) and y=f(4x) are symmetrical about the points (a_1,0) and (a_2,0) respectively then a_2/a_1=

If A_1 is the area of the parabola y^2=4 ax lying between vertex and the latusrectum and A_2 is the area between the latusrectum and the double ordinate x=2 a , then A_1/A_2 is equal to

If one of the roots of the equation ax^2 + bx + c = 0 be reciprocal of one of the a_1 x^2 + b_1 x + c_1 = 0 , then prove that (a a_1-c c_1)^2 =(bc_1-ab_1) (b_1c-a_1 b) .

The ratio in which the line segment joining points A(a_1,\ b_1) and B(a_2,\ b_2) is divided by y-axis is (a) -a_1: a_2 (b) a_1: a_2 (c) b_1: b_2 (d) -b_1: b_2

ARIHANT MATHS ENGLISH-PARABOLA-Exercise (Single Option Correct Type Questions)
  1. A common tangent is drawn to the circle x^2+y^2=a^2 and the parabola y...

    Text Solution

    |

  2. The equation of the parabola whose vertex and focus lie on the axis of...

    Text Solution

    |

  3. If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal...

    Text Solution

    |

  4. ABCD and EFGC are squares and the curve y=ksqrtx passes through the or...

    Text Solution

    |

  5. Find dy/dx if y^2 = x

    Text Solution

    |

  6. The vertex of the parabola whose parametric equation is x=t^(2)-t+1,y=...

    Text Solution

    |

  7. The circle x^(2)+y^(2)+2lamdax=0,lamdainR, touches the parabola y^(2)=...

    Text Solution

    |

  8. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of in...

    Text Solution

    |

  9. A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both ...

    Text Solution

    |

  10. Two mutually perpendicular tangents of the parabola y^(2)=4ax meet the...

    Text Solution

    |

  11. If the normals to the parabola y^2=4a x at P meets the curve again at ...

    Text Solution

    |

  12. The normal to the parabola y^(2)=4ax at three points P,Q and R meet at...

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. The largest value of a for which the circle x^2+y^2=a^2 falls totally ...

    Text Solution

    |

  15. From a point (sintheta,costheta), if three normals can be drawn to the...

    Text Solution

    |

  16. If two different tangents of y^2=4x are the normals to x^2=4b y , then...

    Text Solution

    |

  17. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

    Text Solution

    |

  18. Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...

    Text Solution

    |

  19. A line is drawn form A(-2,0) to intersect the curve y^2=4x at Pa n dQ ...

    Text Solution

    |

  20. An equilateral triangle SAB is inscribed in the parabola y^(2)=4ax hav...

    Text Solution

    |