Home
Class 12
MATHS
about to only mathematics...

about to only mathematics

A

3

B

4

C

6

D

5

Text Solution

Verified by Experts

The correct Answer is:
D
(4) Normal to `y^(2)=4axandx^(2)=4by` in terms of m are
`y=mx-2am-am^(3)`
`andy=mx+2b+(b)/(m^(2))`
For a common normal,
`2b+(b)/(m^(2))+2am+am^(3)=0`
`oram^(5)+2am^(3)+2bm^(2)+b=0`
This means there can be at most five common normals
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    CENGAGE|Exercise Exercise (Multiple)|26 Videos

  • PARABOLA

    CENGAGE|Exercise Exercise (Comprehension)|41 Videos

  • PARABOLA

    CENGAGE|Exercise Exercise 5.7|9 Videos

  • PAIR OF STRAIGHT LINES

    CENGAGE|Exercise Exercise (Numerical)|5 Videos

  • PERMUTATION AND COMBINATION

    CENGAGE|Exercise Question Bank|4 Videos

Similar Questions

Explore conceptually related problems

A school library has 75 books on Mathematics, 35 books on physics. A student can choose only one book , In how many ways a student can choose a book on Mathematics or physics?

The first theorem in mathematics is ………… .

There are 15 candidates for an examination . 7 candidates are appearing for mathematics examination while the remaining 8 are appearing for different subjects. In how many ways can they be seated in a row so that no two mathematics candidates are together ?

There are 15 candidates for an examination. 7 candidates are appearing for mathematics examination while the remaning 8 are appearing for different subjects. In how many ways can they be seated in a row so that no two mathematics candidates are together?

There are 15 candidates for an examination. 7 candidates are appearing for mathematics examination while the remaining 8 are appearing for different subjects . In how many ways can they be seated in a row so that no two mathematics candidates are together ?

A bag contains a total of 20 books on physics and mathematics, Any possible combination of books is equally likely. Ten books are chosen from the bag and it is found that it contains 6 books of mathematics. Find out the probability that the remaining books in the bag contains 3 books on mathematics.

Formulate into a mathematical problem to find a number such that when its cube root is added to it, the result is 6.

CENGAGE-PARABOLA-Exercise (Single)
  1. The radius of the circle touching the parabola y^2=x at (1, 1) and hav...

    Text Solution

    |

  2. If two different tangents of y^2=4x are the normals to x^2=4b y , then...

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. If line P Q , where equation is y=2x+k , is a normal to the parabola w...

    Text Solution

    |

  5. min[(x1-x^2)^2+(3+sqrt(1-x1 2)-sqrt(4x2))],AAx1,x2 in R , is 4sqrt(5)...

    Text Solution

    |

  6. If the normals to the parabola y^2=4a x at three points (a p^2,2a p), ...

    Text Solution

    |

  7. Normals A O ,AA1a n dAA2 are drawn to the parabola y^2=8x from the poi...

    Text Solution

    |

  8. If the normals to the parabola y^2=4a x at the ends of the latus rectu...

    Text Solution

    |

  9. From a point (sintheta,costheta), if three normals can be drawn tot he...

    Text Solution

    |

  10. If the normals at P(t(1))andQ(t(2)) on the parabola meet on the same p...

    Text Solution

    |

  11. If the normals to the parabola y^2=4a x at P meets the curve again at ...

    Text Solution

    |

  12. PQ is a normal chord of the parabola y^2= 4ax at P,A being the vertex ...

    Text Solution

    |

  13. P, Q, and R are the feet of the normals drawn to a parabola (y−3)^2=8(...

    Text Solution

    |

  14. Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...

    Text Solution

    |

  15. The endpoints of two normal chords of a parabola are concyclic. Then ...

    Text Solution

    |

  16. If normal at point P on the parabola y^2=4a x ,(a >0), meets it again ...

    Text Solution

    |

  17. The set of points on the axis of the parabola (x-1)^2=8(y+2) from wher...

    Text Solution

    |

  18. Tangent and normal are drawn at the point P-=(16 ,16) of the parabola ...

    Text Solution

    |

  19. From the point (15, 12), three normals are drawn to the parabola y^2=4...

    Text Solution

    |

  20. The line x-y=1 intersects the parabola y^2=4x at A and B . Normals at ...

    Text Solution

    |