Home
Class 12
MATHS
The tangent at the point P(x1, y1) to th...

The tangent at the point `P(x_1, y_1)` to the parabola `y^2 = 4 a x` meets the parabola `y^2 = 4 a (x + b)` at Q and R. the coordinates of the mid-point of QR are

A

`(x_(1)-a, y_(1)+b)`

B

`(x_(1), y_(1))`

C

`(x_(1)+b, y_(1)+a)`

D

`(x_(1)-b, y_(1)-b)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL-2 (single correct answer type questions )|10 Videos

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|14 Videos

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT-BASED SINGLE CORRECT ANSWER TYPE QUESTIONS)|15 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos

  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |17 Videos

Similar Questions

Explore conceptually related problems

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 the tangent at the point P(2,4) to the parabola y^(2)=8x meets the parabola y^(2)=8x+5 at Q and R, then find the midpoint of chord QR.

A variable tangent to the parabola y^(2)=4ax meets the parabola y^(2)=-4ax P and Q. The locus of the mid-point of PQ, is

The normal at a point P (36,36) on the parabola y^(2)=36x meets the parabola again at a point Q. Find the coordinates of Q.

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

A tangent to the parabola y^(2)=4ax meets axes at A and B .Then the locus of mid-point of line AB is

A tangent to the parabola x^(2) = 4ay meets the hyperbola x^(2) - y^(2) = a^(2) in two points P and Q, then mid point of P and Q lies on the curve

MCGROW HILL PUBLICATION-PARABOLA-SOLVED EXAMPLES LEVEL-1 (single correct answer type questions )
  1. The locus of the mid-point of the line segment joning the focus to a m...

    Text Solution

    |

  2. The equation of the common tangent to the curve y^2=-8x and xy=-1 is

    Text Solution

    |

  3. The tangent at the point P(x1, y1) to the parabola y^2 = 4 a x meets t...

    Text Solution

    |

  4. AB is a chord of the parabola y^2 = 4ax with its vertex at A. BC is dr...

    Text Solution

    |

  5. The equation of the common tangent touching the circle (x-3)^2+y^2=9 a...

    Text Solution

    |

  6. The point of intersetion of the tangents to the parabola y^2=4x at the...

    Text Solution

    |

  7. Equation of the directrix of the parabola y^(2)+4x+2=0 is

    Text Solution

    |

  8. If x+y=k is a normal to the parabola y^(2)=12x, then the value of k is...

    Text Solution

    |

  9. If a normal chord at a point on the parabola y^(2)=4ax subtends a righ...

    Text Solution

    |

  10. The slopes of the normals to the parabola y^2=4ax intersecting at a p...

    Text Solution

    |

  11. If the focus of a parabola divides a focal chord in segments of lengt...

    Text Solution

    |

  12. P is a point on the parabola whose ordinate equals its abscissa. A nor...

    Text Solution

    |

  13. the equation of the parabola whose focus is the point (0,0) and the ta...

    Text Solution

    |

  14. The common tangent to the circle x^(2)+y^(2)=a^(2)//2 and the parabola...

    Text Solution

    |

  15. The locus of the vertices of the family of parabolas y =[a^3x^2]/3 + [...

    Text Solution

    |

  16. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

    Text Solution

    |

  17. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

    Text Solution

    |

  18. The shortest distance between the lines y-x=1 and the curve x=y^2 is

    Text Solution

    |

  19. If a!=0 and the line 2bx+3cy+4d=0 passes through the points of interse...

    Text Solution

    |

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

    Text Solution

    |