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

If `y=2x-3` is tangent to the parabola `y^2=4a(x-1/3),` then `a` is equal to (a)`(22)/3` (b) `-1` (c) `(14)/3` (d) `(-14)/3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If y=2x-3 is tangent to the parabola y^2=4a(x-1/3), then a is equal to (22)/3 (b) -1 (c) (14)/3 (d) (-14)/3

If y=mx+6 is a tangent to both the parabolas y^2=8x and x^2=3by , then b is equal to :

y=x is tangent to the parabola y=ax^(2)+c . If c=2, then the point of contact is (a) (3,3) (b) (2,2) (c) (6,6) (d) (4,4)

y=x is tangent to the parabola y=ax^(2)+c . If (1,1) is the point of contact, then a is (a) 1/4 (b) 1/3 (c) 1/2 (d) 1/6

If y=3^(x-1)+3^(-x-1) , then the least value of y is (a) 2 (b) 6 (c) 2//3 (d) 3//2

The slope of the line touching both the parabolas y^2=4x and x^2=−32y is (a) 1/2 (b) 3/2 (c) 1/8 (d) 2/3

The focal chord of the parabola (y-2)^2=16(x-1) is a tangent to the circle x^2+y^2-14 x-4y+51=0, then slope of the focal chord can be (1) 0 (2) 1 (3) 2 (4) 3

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.

The area common to the parabolas y=2x^2 and y=x^2+4 (in square units) is (A) 2/3 (B) 3/2 (C) 32/3 (D) 3/32

If y+3=m_1(x+2) and y+3=m_2(x+2) are two tangents to the parabola y_2=8x , then (a) m_1+m_2=0 (b) m_1+m_2=-1 (c) m_1+m_2=1 (d) none of these

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If y+3=m1(x+2) and y+3=m2(x+2) are two tangents to the parabola y2=8...

    Text Solution

    |

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

    Text Solution

    |

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

    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) and (beta,0) ...

    Text Solution

    |

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

    Text Solution

    |

  9. A line A B makes intercepts of lengths a and b on the coordinate axes....

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Each question has four choices a, b, c and d, out of which only one is...

    Text Solution

    |

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

    Text Solution

    |

  17. Statement 1: In the parabola y^2=4a x , the circle drawn the taking th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |