Home
Class 12
MATHS
Statement 1 : The line x-2y=2 meets the ...

Statement 1 : The line `x-2y=2` meets the parabola, `y^2 + 2x = 0` only at the points `(-2,2)` Statement 2: The line `y=mx-1/(2m) (m != 0)` is tangent to the parabola, `y^2 =-2x` at the point `(-1/(2m^2),-1/m)`.

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL 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

If the line y=mx+1 is tangent to the parabola y^(2)=4x, then find the value of m .

if the line 4x+3y+1=0 meets the parabola y^(2)=8x then the mid point of the chord is

Statement 1: The line y=x+2a touches the parabola y^(2)=4a(x+a) statement 2: The line y=mx+am+(a)/(m) touches y^(2)=4a(x+a) for all real values of m.

If the line (y-b)=m_(1)(x+a) and (y-b)=m_(2)(x+a) are the tangents to the parabola y^(2)=4ax then

The line y=mx+1 is a tangent to the curve y^(2)=4x if the value of m is (A) 1(B)2(C)3(D)(1)/(2)

If the straight line y=mx+1 be the tangent of the parabola y^(2)=4x at the point (1,2) then the value of m will be-

MCGROW HILL PUBLICATION-PARABOLA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. Given : A circle, 2x^2+""2y^2=""5 and a parabola, y^2=""4sqrt(5)""x . ...

    Text Solution

    |

  2. Statement-1: The slopw of the tangent at any point P on a parabola, wh...

    Text Solution

    |

  3. Statement 1 : The line x-2y=2 meets the parabola, y^2 + 2x = 0 only at...

    Text Solution

    |

  4. The point of intersection of the normals to the parabola y^2=4x at the...

    Text Solution

    |

  5. The slope of the line touching both the parabolas y^2=4x and x^2=−32y ...

    Text Solution

    |

  6. Area common to the circle x^(2)+y^(2)=9 an the parbola y^(1)=8x is

    Text Solution

    |

  7. Two tangents are drawn from a point (-2, -1) to the curve y^(2)=4x. If...

    Text Solution

    |

  8. A chord is drawn through the focus of the parabola y^(2)=6x such that ...

    Text Solution

    |

  9. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

    Text Solution

    |

  10. Let PQ be a double ordinate of the parabola, y^2=-4x where P lies in t...

    Text Solution

    |

  11. If the tangent to the conic, y - 6= x^2 at (2, 10) touches the circle,...

    Text Solution

    |

  12. Let P be the point on the parabola, y^2=8x which is at a minimum dis...

    Text Solution

    |

  13. The minimum distance of a point on the curve y=x^2 -4 from the origin ...

    Text Solution

    |

  14. P and Q are two distinct points on the parabola, y^2 = 4x with paramet...

    Text Solution

    |

  15. If the common tangents to the parabola x^2 = 4y and the circle x^2 + y...

    Text Solution

    |

  16. If y=mx+c is the normal at a point on the parabola y^(2)=8x whose foca...

    Text Solution

    |

  17. The radius of a circle, having minimum area, which touches the curve y...

    Text Solution

    |

  18. Tangent and normal are drawn at P(16,16) on the parabola y^2=16x which...

    Text Solution

    |

  19. Two parabola with a coomon vertex and with axes along x-axis and y-ax...

    Text Solution

    |

  20. Axis of a parabola lies along x-axis. If its vertex and focus are at d...

    Text Solution

    |