Home
Class 12
MATHS
Pair of tangents are drawn from origin t...

Pair of tangents are drawn from origin to the circle `x^2 + y^2 – 8x – 4y + 16 = 0` then square of length of chord of contact is

A

1.`(64)/(5)`

B

2.`(52)/(5)`

C

3.`(56)/(5)`

D

4.`(32)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
`A`
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|2 Videos

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|445 Videos

Similar Questions

Explore conceptually related problems

The pair of tangents from origin to the circle x^(2)+y^(2)+4x+2y+3=0 is

A pair of tangents are drawn from the origin to the circle x^2+y^2+20(x+y)+20=0 . Then find its equations.

A tangent is drawn at any point P (t) on the parabola y^2 = 8x and on it is taken a point Q (alpha, beta) from which pair of tangent QA and QB are drawn to the circle x^2+ y^2= 4 . The locus of the point of concurrency of the chord of contact AB of the circle x^2+y^2=4 is

Angle between tangents drawn from a points P to circle x^(2)+y^(2)-4x-8y+8=0 is 60^(@) then length of chord of contact of P is

The angle between the tangents drawn from the origin to the circle x^(2) + y^(2) + 4x - 6y + 4 = 0 is

Find the area of the quadrilateral formed by common tangents drawn from a point P to the circle x^(2) + y^(2) = 8 and the parabola y^(2) =16x , chord of contact of tangents to the circle and chord of contact of tangents to the parabolas.

Let the midpoint of the chord of contact of tangents drawn from A to the circle x^(2) + y^(2) = 4 be M(1, -1) and the points of contact be B and C

Find the area of the triangle formed by two tangents drawn from (3,5) to the circle x^(2)+y^(2)=16 and the chord of contact of (3,5)

If the length of the tangent drawn from (f, g) to the circle x^2+y^2= 6 be twice the length of the tangent drawn from the same point to the circle x^2 + y^2 + 3 (x + y) = 0 then show that g^2 +f^2 + 4g + 4f+ 2 = 0 .

Let 2 x^2 + y^2 - 3xy = 0 be the equation of pair of tangents drawn from the origin to a circle of radius 3, with center in the first quadrant. If A is the point of contact. Find OA

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAIN-MATHEMATICS
  1. Let 3 + 4 + 8 + 9 + 13 + 14 + 18 +……….40 terms = S. If S = (102)m then...

    Text Solution

    |

  2. The area bounded by 4x^2 le y le 8x+12 is -

    Text Solution

    |

  3. Pair of tangents are drawn from origin to the circle x^2 + y^2 – 8x – ...

    Text Solution

    |

  4. There are 5 machines. Probability of a machine being faulted is 1/4 . ...

    Text Solution

    |

  5. Let A, B, C and D be four non-empty sets. The contrapositive statement...

    Text Solution

    |

  6. Let f(x) be a polynomial of degree 5 such that x = pm 1 are its critic...

    Text Solution

    |

  7. If .^36C(r+1) xx (k^2-3) = 6 xx .^35Cr , then number of ordered pairs...

    Text Solution

    |

  8. If vec a,vec b , vec c are unit vectors such that veca + vec b+ vecc =...

    Text Solution

    |

  9. If z = (3+isintheta)/(4-icostheta) is purely real and theta in (pi/2,p...

    Text Solution

    |

  10. 3x + 4y = 12 sqrt2 is the tangent to the ellipse x^2/a^2 + y^2/9 = 1 t...

    Text Solution

    |

  11. The value of alpha for which 4alphaint(-1)^(2)e^(-alpha|x|)dx=5 is :

    Text Solution

    |

  12. Let alpha and beta are the roots of x^2 – x – 1 = 0 such that Pk = alp...

    Text Solution

    |

  13. Let A = [a(ij)], B=[b(ij)] are two 3 × 3 matrices such that b(ij)...

    Text Solution

    |

  14. From any point P on the line x = 2y perpendicular is drawn on y = x. L...

    Text Solution

    |

  15. Let a(1), a(2), a(3), … be a G. P. such that a(1)lt0, a(1)+a(2)=4 and ...

    Text Solution

    |

  16. if y sqrt(1-x^2) = k - x sqrt(1-y^2) and y(1/2) = -1/4, then (dy)/(dx...

    Text Solution

    |

  17. Coefficient of x^7 in (1 + x)^10 + x(1 + x)^9 + x^2 (1 + x)^8+………..+x^...

    Text Solution

    |

  18. If Q(5/3,7/3,17,3) is foot of perpendicular drawn from P(1, 0, 3) on a...

    Text Solution

    |

  19. If system of equation x + y + z = 6 x + 2y + 3z = 10 3x + 2y + l...

    Text Solution

    |

  20. If the mean and variance of eight numbers 3, 7, 9, 12, 13, 20, x and y...

    Text Solution

    |