Home
Class 12
MATHS
The condition that the chord xcosalpha+y...

The condition that the chord `xcosalpha+ysinalpha-p=0` of `x^2+y^2-a^2=0` may subtend a right angle at the center of the circle is _

A

`a^(2)=2p^(2)`

B

`p^(2)=2a^(2)`

C

`a=2p`

D

`p=2a`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

The locus of the point, the chord of contact of which wrt the circle x^(2)+y^(2)=a^(2) subtends a right angle at the centre of the circle is

If the chord xcosalpha+ysinalpha=p of the hyperbola (x^2)/(16)-(y^2)/(18)=1 subtends a right angle at the center, and the diameter of the circle, concentric with the hyperbola, to which the given chord is a tangent is d , then the value of d/4 is__________

A normal chord of the parabola y^2=4ax subtends a right angle at the vertex if its slope is

Find the locus of the midpoint of the chords of the circle x^2+y^2=a^2 which subtend a right angle at the point (0,0)dot

Find the locus of the midpoint of the chords of the circle x^2+y^2=a^2 which subtend a right angle at the point (c ,0)dot

Find the locus of the mid-point of the chords of the circle x^2 + y^2 + 2gx+2fy+c=0 which subtend an angle of 120^0 at the centre of the circle.

The chord of the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 , whose equation is x cos alpha +y sin alpha =p , subtends a right angle at its centre. Prove that it always touches a circle of radius (ab)/sqrt(a^(2)-b^(2))

If the chord of contact of the tangents drawn from the point (h , k) to the circle x^2+y^2=a^2 subtends a right angle at the center, then prove that h^2+k^2=2a^2dot

A variable chord of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,(b > a), subtends a right angle at the center of the hyperbola if this chord touches. a fixed circle concentric with the hyperbola a fixed ellipse concentric with the hyperbola a fixed hyperbola concentric with the hyperbola a fixed parabola having vertex at (0, 0).

Find the locus of the midpoint of the chords of the circle x^2+y^2-ax-by=0 which subtend a right angle at the point (a/2 ,b/2)dot is

OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. Find the condition if the circle whose equations are x^2+y^2+c^2=2a x ...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. The condition that the chord xcosalpha+ysinalpha-p=0 of x^2+y^2-a^2=0 ...

    Text Solution

    |

  4. The locus of the centres of the circles which touch x^2+y^2=a^2 and x^...

    Text Solution

    |

  5. Let P be a point on the circle x^2+y^2=9,Q a point on the line 7x+y+3=...

    Text Solution

    |

  6. Two lines through (2, 3) from which the circle x^2+y^2 =25 intercepts ...

    Text Solution

    |

  7. A line meets the coordinate axes at A and B . A circle is circumscribe...

    Text Solution

    |

  8. Find the co-ordinate of the point on the circle x^2+y^2-12x-4y +30=0, ...

    Text Solution

    |

  9. If the angle of intersection of the circle x^2+y^2+x+y=0 and x^2+y^2+x...

    Text Solution

    |

  10. Find the equation of the circle whose radius is 5a n d which touches t...

    Text Solution

    |

  11. If AB is a diameter of a circle and C is any point on the circle, then...

    Text Solution

    |

  12. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  13. The point of which the line 9x + y - 28 = 0 is the chord of contact of...

    Text Solution

    |

  14. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

    Text Solution

    |

  15. If the straight line x=2y+1=0 intersects the circle x^2+y^2=25 at poin...

    Text Solution

    |

  16. If the chord of contact of the tangents drawn from the point (h , k) t...

    Text Solution

    |

  17. Find the equation of the circle which cuts the three circles x^2+y^2-3...

    Text Solution

    |

  18. The equation of a circle which passes through (2a, 0) and whose radica...

    Text Solution

    |

  19. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

    Text Solution

    |

  20. If the pole of a straight line with respect to the circle x^(2)+y^(2)=...

    Text Solution

    |