Home
Class 12
MATHS
Which of the following line can be tange...

Which of the following line can be tangent to the parabola `y^2=8x ?` `x-y+2=0` (b) `9x-3y+2=0` `x+2y+8=0` (d) `x+3y+12=0`

A

x-y+2=0

B

9x-3y+2=0

C

x+2y+8=0

D

x+3y+12=0

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
1,2,3
The equation of tangent `y^(2)=8x` having slope m is
`y=mx+(2)/(m)`
Options (1), (2), and (3) are tangents for m=1,3, and -1/2, respectively.
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    CENGAGE PUBLICATION|Exercise LINKED COMPREHENSION TYPE|45 Videos

  • PARABOLA

    CENGAGE PUBLICATION|Exercise MATRIX MATCH TYPE|5 Videos

  • PARABOLA

    CENGAGE PUBLICATION|Exercise EXERCISE (SINGLE CORRECT ANSWER TYPE )|98 Videos

  • PAIR OF STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise Numberical Value Type|5 Videos

  • PERMUTATION AND COMBINATION

    CENGAGE PUBLICATION|Exercise Comprehension|8 Videos

Similar Questions

Explore conceptually related problems

Which of the following line can be normal to parabola y^2=12 x ? x+y-9=0 (b) 2x-y-32=0 2x+y-36=0 (d) 3x-y-72=0

Which of the following lines have the intercepts of equal lengths on the circle, x^2+y^2-2x+4y=0 (A) 3x -y= 0 (B) x+3y=0 (C) x+3y+10=0 (D) 3x-y-10=0

Find the equation of the tangents to the parabola 3y^(2)=8x , parallel to the line x-3y=0 .

The line 2x+y+lamda=0 is a normal to the parabola y^(2)=8x, is lamda =

Find the equation of tangent to the conic x^2-y^2-8x+2y+11=0 at (2,1) .

Find the area bounded by the parabola y^2=9x and the straight line x-y+2=0

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

Which of the following is a point on the common chord of the circle x^2+y^2+2x-3y+6=0 and x^2+y^2+x-8y-13=0? (1,-2) (b) (1,4) (c) (1,2) (d) (1,-4)

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

Prove that the focal distance of the point (x ,y) on the parabola x^2-8x+16 y=0 is |y-5|

CENGAGE PUBLICATION-PARABOLA-EXERCISE (MULTIPLE CORRECT ANSWER TYPE )
  1. The locus of the midpoint of the focal distance of a variable point ...

    Text Solution

    |

  2. A square has one vertex at the vertex of the parabola y^2=4a x and the...

    Text Solution

    |

  3. If two distinct chords of a parabola y^2=4ax , passing through (a,2a) ...

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. If the parabola x^2=ay makes an intercept of length sqrt40 unit on the...

    Text Solution

    |

  6. The equation of the directrix of the parabola with vertex at the origi...

    Text Solution

    |

  7. Tangent is drawn at any point (x1, y1) other than the vertex on the pa...

    Text Solution

    |

  8. The parabola y^2=4x and the circle having its center at (6, 5) interse...

    Text Solution

    |

  9. Which of the following line can be tangent to the parabola y^2=8x ? x...

    Text Solution

    |

  10. If the line k^(2)(x-1)+k(y-2)+1=0 touches the parabola y^(2)-4x-4y+8=0...

    Text Solution

    |

  11. The equation of a circle of radius 1 touching the circles x^2+y^2-2|x|...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. The line x+ y +2=0 is a tangent to a parabola at point A, intersect t...

    Text Solution

    |

  14. Which of the following line can be normal to parabola y^2=12 x ? x+y-...

    Text Solution

    |

  15. A normal drawn to the parabola y^2=4a x meets the curve again at Q suc...

    Text Solution

    |

  16. A circle is drawn having centre at C (0,2) and passing through focus ...

    Text Solution

    |

  17. From any point P on the parabola y^(2)=4ax, perpebdicular PN is drawn ...

    Text Solution

    |

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

    Text Solution

    |

  19. The value(s) of a for which two curves y=ax^(2)+ax+(1)/(24)andx=ay^(2)...

    Text Solution

    |

  20. From any point P on the parabola y^(2)=4ax, perpebdicular PN is drawn ...

    Text Solution

    |