Home
Class 12
MATHS
Tangent drawn from the point (a ,3) to t...

Tangent drawn from the point `(a ,3)` to the circle `2x^2+2y^2=25` will be perpendicular to each other if `a` equals a)5 (b) `-4` (c) 4 (d) `-5`

A

5

B

`-4`

C

4

D

`-5`

Text Solution

Verified by Experts

The correct Answer is:
2,3
The equation of the director circle is `x^(2)+y^(2)=25` . The point `(alpha,3)` must lie on this circle. So,
`alpha^(2)+9=25` or `alpha^(2)= 16` or `alpha = +-4`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    CENGAGE|Exercise Exercise (Comprehension)|46 Videos

  • CIRCLE

    CENGAGE|Exercise Exercise (Matrix)|1 Videos

  • CIRCLE

    CENGAGE|Exercise Exercise (Single)|109 Videos

  • BINOMIAL THEOREM

    CENGAGE|Exercise Comprehension|11 Videos

  • CIRCLES

    CENGAGE|Exercise Question Bank|16 Videos

Similar Questions

Explore conceptually related problems

If tangents drawn from the point (a ,2) to the hyperbola (x^2)/(16)-(y^2)/9=1 are perpendicular, then the value of a^2 is _____

Tangents are drawn from the point P(3, 4) to the ellipse x^2/9+y^2/4=1 touching the ellipse at points A and B.

If the length tangent drawn from the point (5, 3) to the circle x^2+y^2+2x+k y+17=0 is 7, then find the value of kdot

Find the value of p if lines 3y - 2x = 4 and 4y - px = 2 are perpendicular to each other .

Find the equations of tangents to the circle x^2+y^2-22 x-4y+25=0 which are perpendicular to the line 5x+12 y+8=0

Tangent drawn from the point P(4,0) to the circle x^2+y^2=8 touches it at the point A in the first quadrant. Find the coordinates of another point B on the circle such that A B=4 .

Tangents are drawn from external point P(6,8) to the circle x^2+y^2 =r^2 find the radius r of the circle such that area of triangle formed by the tangents and chord of contact is maximum is (A) 25 (B) 15 (C) 5 (D) none of these

If the tangents are drawn from any point on the line x+y=3 to the circle x^2+y^2=9 , then the chord of contact passes through the point. a)(3, 5) (b) (3, 3) (c) (5, 3) (d) none of these

if the tangents on the ellipse 4x^(2)+y^(2)=8 at the points (1,2) and (a,b) are perpendicular to each other then a^(2) is equal to

The two lines represented by 3a x^2+5x y+(a^2-2)y^2=0 are perpendicular to each other for (a)two values of a (b) a (c)for one value of a (d) for no values of a

CENGAGE-CIRCLE -Exercise (Multiple)
  1. about to only mathematics

    Text Solution

    |

  2. Consider the circle x^2+y^2-10x-6y+30=0. Let O be the centre of the ci...

    Text Solution

    |

  3. Tangent drawn from the point (a ,3) to the circle 2x^2+2y^2=25 will be...

    Text Solution

    |

  4. ABC is any triagnel inscribed in the circle x^(2)+y^(2)=r^(2) such th...

    Text Solution

    |

  5. The equation of tangents drawn from the origin to the circlex^2+y^2-2r...

    Text Solution

    |

  6. If the circle x^2+y^2=a^2 intersects the hyperbola x y=c^2 at four poi...

    Text Solution

    |

  7. Let xa n dy be real variables satisfying x^2+y^2+8x-10 y-40=0 . Let a=...

    Text Solution

    |

  8. If the equation x^2+y^2+2h x y+2gx+2fy+c=0 represents a circle, then t...

    Text Solution

    |

  9. A point on the line x=3 from which the tangents drawn to the circle x^...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. If the circles x^2+y^2-9=0 and x^2+y^2+2a x+2y+1=0 touch each other, t...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. The equation of the tangent to the circle x^2+y^2=25 passing through (...

    Text Solution

    |

  14. If the area of the quadrilateral by the tangents from the origin to th...

    Text Solution

    |

  15. The equation of the circle which touches the axes of coordinates and ...

    Text Solution

    |

  16. Which of the following lines have the intercepts of equal lengths on t...

    Text Solution

    |

  17. The equation of the line(s) parallel to x-2y=1 which touch(es) the cir...

    Text Solution

    |

  18. The circles x^2+y^2-2x-4y+1=0 and x^2+y^2+4x+4y-1=0 (a)touch internal...

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. about to only mathematics

    Text Solution

    |