Home
Class 12
MATHS
If two parabolas y^(2)=4a(x-k) and x^(2)...

If two parabolas `y^(2)=4a(x-k) and x^(2)=4a(y-k)` have only one common point P, then the coordinates of P are

A

`(2k, 2k)`

B

`(k, k)`

C

`(a, 2k)`

D

`(k, 2a)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 81

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 83

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If two parabolas y^(2)-4a(x-k) and x^(2)=4a(y-k) have only one common point P, then the equation of normal to y^(2)=4a(x-k) at P is

If the two parabolas y^2 = 4x and y^2 = (x-k) have a common normal other than x-axis, then value of k can be (A) 1 (B) 2 (C) 3 (D) 4

if P is a point on parabola y^(2)=4ax such that subtangents and subnormals at P are equal, then the coordinates of P are:

The normal to the parabola y^(2)=4x at P (1, 2) meets the parabola again in Q, then coordinates of Q are

If the common tangents to the parabola,x^(2)=4y and the circle,x^(2)+y^(2)=4 intersectat the point P, then the distance of P from theorigin,is.

The tangent at the point P(x_(1),y_(1)) to the parabola y^(2)=4ax meets the parabola y^(2)=4a(x+b) at Q and R .the coordinates of the mid-point of QR are

If P is a point on the parabola y = x^2+ 4 which is closest to the straight line y = 4x – 1, then the co-ordinates of P are :

The two parabolas x^(2)=4y and y^(2)=4x meet in two distinct points.One of these is origin and the other point is

The two parabolas y^(2)=4x" and "x^(2)=4 intersect at a point P, whose abscissas is not zero, such that

The vertex V of the parabola y ^(2) = 4ax and two points on the parabola together with a point P form a square. The coordinates of P are

NTA MOCK TESTS-NTA JEE MOCK TEST 82-MATHEMATICS
  1. If the points A(3-x, 3, 3), B(3, 3-y, 3), C(3, 3-y, 3) and C(3, 3, 3-z...

    Text Solution

    |

  2. For a matrix A, if A^(2)=A and B=I-A then AB+BA +I-(I-A)^(2) is equal ...

    Text Solution

    |

  3. If only the 4^("th") term in the expansion of (2+(3pi)/(8))^(10) has t...

    Text Solution

    |

  4. The number of ways in which letter of the word '"ARRANGE"' can be arra...

    Text Solution

    |

  5. If alpha and beta the roots of the equation x^(2)-2x+3=0, then the sum...

    Text Solution

    |

  6. In triangle A B C , if sinAcosB=1/4a n d3t a n A=t a n B ,t h e ncot^2...

    Text Solution

    |

  7. The average weght of the students in a class of 39 students is 40 kg. ...

    Text Solution

    |

  8. If two parabolas y^(2)=4a(x-k) and x^(2)=4a(y-k) have only one common ...

    Text Solution

    |

  9. The locus of a point P(alpha, beta) moving under the condition that th...

    Text Solution

    |

  10. For a complex number Z, if the argument of 3+3i and (Z-2) (bar(Z)-1) a...

    Text Solution

    |

  11. If the function f(x)=x^(3)-3ax has a local minimum at x=lambda(lambda ...

    Text Solution

    |

  12. If the integral I=int(2x^(2))/(4+x^(2))dx=2x-f(x)+c, where f(2)=pi, th...

    Text Solution

    |

  13. An isosceles triangle of wood of base 10 feet and height (8)/(sqrt3) f...

    Text Solution

    |

  14. The solution of the differential equation xdy-ydx+3x^(2)y^(2)e^(x^(3))...

    Text Solution

    |

  15. If cot^(-1)(x-(x^(2))/(2)+(x^(3))/(4)-…………..)+tan^(-1)(x^(2)-(x^(4))/(...

    Text Solution

    |

  16. The value of lim(xrarr1)(root5(x^(2))-2root5x+1)/(4(x-1)^(2)) is equal...

    Text Solution

    |

  17. If A be a square matrix of order 3, such that |A|=sqrt5, then |Adj(-3A...

    Text Solution

    |

  18. For the series S=1+(1)/((1+3))(1+2)^(2)+(1)/((1+3+5))(1+2+3)^(2)+(1)/(...

    Text Solution

    |

  19. Consider circles C(1) and C(2) touching both the axes and passing thro...

    Text Solution

    |

  20. The area bounded by y=min(x, 2-x) with y=(x-1)^(2) is K sq. units, the...

    Text Solution

    |