Home
Class 12
MATHS
Two straight lines are perpendicular to ...

Two straight lines are perpendicular to each other. One of them touches the parabola `y^2=4a(x+a)` and the other touches `y^2=4b(x+b)` . Their point of intersection lies on the line. (a)`x-a+b=0` (b) `x+a-b=0` (c)`x+a+b=0` (d) `x-a-b=0`

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise JEE type solved examples|1 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise For Session 1|20 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

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

Similar Questions

Explore conceptually related problems

The point of intersection of the lines x/a+y/b=1 and x/b+y/a=1 lies on

If the line l x+m y+n=0 touches the parabola y^2=4a x , prove that ln=a m^2

The value of k for which the line x+y+1=0 touches the parabola y^2 = 4kx is :

Find the point of intersection of the straight lines : x/3-y/4=0, x/2+y/3 =1 .

Prove that the line x/l+y/m=1 touches the parabola y^2=4a(x+b) , if m^2(l+b)+al^2=0 .

The lines x+3y-1=0 and x-4y=0 intersect each other. Find their point of intersection.

If a!=0 and the line 2b x+3c y+4d=0 passes through the points of intersection of the parabolas y^2=4a x and x^2=4a y , then

Show that the line x/a + y/b = 1 touches the curve y = be^(x//a) at the point where the curve intersect the axis of y.

Find the equation of the line passing through the point of intersection of the lines x+5y+7=0 and 3x+2y-5=0 (b) perpendicular to the line 7x + 2y - 5 = 0

The point of intersection of the lines x/a + y/b = 1 and x/b + y/a = 1 does not lie on the line

ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Two straight lines are perpendicular to each other. One of them touche...

    Text Solution

    |

  2. Let A and B be two finite sets such that n(A) =85, n(B) = 65and n(A ∪ ...

    Text Solution

    |

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

    Text Solution

    |

  4. The axis of a parabola is along the line y=x and the distance of its v...

    Text Solution

    |

  5. In a school, all pupils play either Hockey or Football or both. 400 pl...

    Text Solution

    |

  6. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

    Text Solution

    |

  7. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

    Text Solution

    |

  8. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  9. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  10. Find slope of tangent to the curve if equation is x^2 + y^2 = 9

    Text Solution

    |

  11. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

    Text Solution

    |

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

    Text Solution

    |

  13. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then,

    Text Solution

    |

  14. If a parabola has the origin as its focus and the line x = 2 as the ...

    Text Solution

    |

  15. In a school, there are 30 teachers who teach Mathematics or Physics. O...

    Text Solution

    |

  16. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

    Text Solution

    |

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

    Text Solution

    |

  18. Of the 125 students in an elementary school, 89 students play checkers...

    Text Solution

    |

  19. What is the 5th term of this sequence 9, 13, 17, ...?

    Text Solution

    |

  20. In a group of 400 people, 250 can speak Punjabi and 200 can speak Engl...

    Text Solution

    |

  21. If f (x) = a cos (bx + c) + d, then what is the range of f (x)?

    Text Solution

    |