Home
Class 11
MATHS
If y=2x-3 is tangent to the parabola y^(...

If y=2x-3 is tangent to the parabola `y^(2)=4a(x-(1)/(3))`, then a is equal to

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If y=2x+3 is a tangent to the parabola y^2=24 x , then find its distance from the parallel normal.

If y=4x+3 is parallel to a tangent to the parabola y^(2)=12 x, then its distance from the normal parallel to the given line is

If y=4x+3 is parallel to a tangent to the parabola y^(2)=12x , then its distance from the normal parallel to the given ine is-

If the line x+y =1 is a tangent to the parabola y^(2)-y +x=0 , then the point of contact is-

y=x is tangent to the parabola y=2ax^(2)+c . If (1,1) is the point of contact, then a is

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

The axis of the parabola (y +1)^(2)=- 4(x - 3) is parallel to_

Find the equation of the tangent to the parabola y^2=4a x at the point (a t^2,\ 2a t) .

The locus of centroid of triangle formed by a tangent to the parabola y^(2) = 36x with coordinate axes is (a) y^(2) =- 9x (b) y^(2) +3x = 0 (c) y^(2) = 3x (d) y^(2) = 9x

If y=m_1x+c and y=m_2x+c are two tangents to the parabola y^2+4a(x+c)=0 , then

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If y+3=m1(x+2) and y+3=m2(x+2) are two tangents to the parabola y^2=8x...

    Text Solution

    |

  2. A line of slope lambda(0 < lambda < 1) touches the parabola y+3x^2=0 a...

    Text Solution

    |

  3. If y=2x-3 is tangent to the parabola y^(2)=4a(x-(1)/(3)), then a is eq...

    Text Solution

    |

  4. The straight lines joining any point P on the parabola y^2=4a x to the...

    Text Solution

    |

  5. Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...

    Text Solution

    |

  6. A tangent is drawn to the parabola y^2=4 x at the point P whose abscis...

    Text Solution

    |

  7. A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both ...

    Text Solution

    |

  8. From a point on the circle x^2+y^2=a^2 , two tangents are drawn to the...

    Text Solution

    |

  9. Prove that the line joining the orthocentre to the centroid of a tr...

    Text Solution

    |

  10. A is a point on the parabola y^2=4a x . The normal at A cuts the parab...

    Text Solution

    |

  11. The equation of the line that touches the curves y=x|x| and x^2+(y-2)^...

    Text Solution

    |

  12. Let PQ be a chord of the parabola y^2=4x. A circle drawn with PQ as a...

    Text Solution

    |

  13. Statement 1: Through (lambda,lambda+1) , there cannot be more than one...

    Text Solution

    |

  14. Statement 1 : Slopes of tangents drawn from (4, 10) to the parabola ...

    Text Solution

    |

  15. Statement 1: The line joining the points (8,-8)a n d(1/2,2), which are...

    Text Solution

    |

  16. The vertices A,B, and C of a variable right triangle lie on a parabol...

    Text Solution

    |

  17. Show that the common tangents to the parabola y^2=4x and the circle x^...

    Text Solution

    |

  18. Consider a curve C : y^2-8x-2y-15=0 in which two tangents T1a n dT2 ar...

    Text Solution

    |

  19. Statement 1: The length of focal chord of a parabola y^2=8x making on ...

    Text Solution

    |

  20. Does equation (5x-5)^(2)+(5y+10)^(2)=(3x+4y+5)^(2) represents a parabo...

    Text Solution

    |