Home
Class 12
MATHS
The line 4x -7y + 10 = 0 intersects the ...

The line `4x -7y + 10 = 0` intersects the parabola `y^(2) =4x` at the points P and Q. The coordinates of the point of intersection of the tangents drawn at the points P and Q are

A

`(-(7)/(2),-(5)/(2))`

B

`((5)/(2),(7)/(2))`

C

`(-(5)/(2),-(7)/(2))`

D

`((7)/(2),(5)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C|45 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A)|55 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

The line 4x-7y+10=0 intersects the parabola,y^(2)=4x at the points A&B .The co- ordinates of the point of intersection of the tangents drawn at the points A&B are:

If the straight line x-2y+1=0 intersects the circle x^(2)+y^(2)=25 at points P and Q, then find the coordinates of the point of intersection of the tangents drawn at P and Q to the circle x^(2)+y^(2)=25

The AM of y coordinates of P and Q is the y coordinate of the point of intersection of tangents at P and parabola.

The coordinates of the point of intersection of the lines 3x+4y-18=0 and 4x-5y+7=0 are

If the line x-y-1=0 intersect the parabola y^(2)=8x at P and Q, then find the point on intersection of tangents P and Q.

If PQ is the focal chord of the parabola y^(2)=-x and P is (-4, 2) , then the ordinate of the point of intersection of the tangents at P and Q is

If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find the point of intersection of normals at P and Q.

If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find the point of intersection of normals at P and Q.

If normal of circle x^(2)+y^(2)+6x+8y+9=0 intersect the parabola y^(2)=4x at P and Q then find the locus of point of intersection of tangent's at P and Q.

The straight lines y=+-x intersect the parabola y^(2)=8x in points P and Q, then length of PQ is

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-B
  1. The equation of tangent to the parabola y^2 = 9x, which pass through t...

    Text Solution

    |

  2. If the normals drawn at the points t(1) and t(2) on the parabola meet ...

    Text Solution

    |

  3. The line 4x -7y + 10 = 0 intersects the parabola y^(2) =4x at the poin...

    Text Solution

    |

  4. The coordinates of the point at which the line x cos alpha + y sin alp...

    Text Solution

    |

  5. If the segment intercepted by the parabola y=4a x with the line l x+m ...

    Text Solution

    |

  6. Find the length of normal chord which subtends an angle of 90^0 at the...

    Text Solution

    |

  7. Find the locus of the point of intersection of the normals at the end ...

    Text Solution

    |

  8. let P be the point (1, 0) and Q be a point on the locus y^2= 8x. The l...

    Text Solution

    |

  9. Three normals are drawn from the point (c, 0) to the curve y^2 = x. Sh...

    Text Solution

    |

  10. vertex and focus of a parabola are (-1,1) and (2,3) respectively. find...

    Text Solution

    |

  11. If the parabola y^2=4a x\ passes through the point (3,2) then find th...

    Text Solution

    |

  12. The curve is given by x = cos 2t, y = sin t represents

    Text Solution

    |

  13. The vertex of the parabola y^(2) =(a-b)(x -a) is

    Text Solution

    |

  14. Two common tangents to the circle x^(2) + y^(2) = (a^(2))/(2) and the...

    Text Solution

    |

  15. The length of a focal chord of the parabola y^(2) = 4ax at a distance...

    Text Solution

    |

  16. The point (a ,2a) is an interior point of the region bounded by the pa...

    Text Solution

    |

  17. If y+b=m1(x+a)and y+b=m2(x+a) are two tangents to the paraabola y^2=4a...

    Text Solution

    |

  18. The co-ordinates of the points on the barabola y^(2) =8x, which is at ...

    Text Solution

    |

  19. If a circle intersects the parabola y^(2) = 4ax at points A(at(1)^(2),...

    Text Solution

    |

  20. If the line y-sqrt3x+3=0 cuts the parabola y^2=x+2 at P and Q then AP....

    Text Solution

    |