Home
Class 11
MATHS
The squared length of the intercept made...

The squared length of the intercept made by the line `x=h` on the pair of tangents drawn from the origin to the circle `x^2+y^2+2gx+2fy+c=0` is (a) `(4c h^2)/((g^2-c)^2)(g^2+f^2-c)` (b) `(4c h^2)/((f^2-c)^2)(g^2+f^2-c)` (c) `(4c h^2)/((f^2-f^2)^2)(g^2+f^2-c)` (d) none of these

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The tangents drawn from the origin x^2+y^2+2gx+2fy+f^2=0 are perpendicular if

Find the length of the tangent drawn from any point on the circle x^2+y^2+2gx+2fy+c_1=0 to the circle x^2+y^2+2gx+2fy+c_2=0

The product of the perpendiculars from origin to the pair of lines a x^2+2h x y+b y^2 + 2gx + 2fy + c =0 is

The length of the tangent drawn from any point on the circle x ^(2) +y^(2) +2gx+2fy+c_(1) =0 to the circel x ^(2)+y^(2) +2gx+2fy+c_(2) =0 is-

If the straight line lx+my+n=0 touches the : circle x^(2)+y^(2)+2agx+2fy+c=0 show that, (l^(2)+m^(2))(g^(2)+f^(2)-c)= (gl+ fm-n)^(2)

The distance between the chords of contact of the tangent to the circle x^2+y^2+2gx+2fy+c=0 from the origin and the point (g, f) is

If the length of the length 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 .

If the angle between the tangents drawn to x^2+y^2+2gx+2fy+c=0 from (0, 0) is pi/2, then (a) g^2+f^2=3c (b) g^2+f^2=2c (c) g^2+f^2=5c (d) g^2+f^2=4c

If a,b,c are in H.P , b,c,d are in G.P and c,d,e are in A.P. , then the value of e is (a) (ab^(2))/((2a-b)^(2)) (b) (a^(2)b)/((2a-b)^(2)) (c) (a^(2)b^(2))/((2a-b)^(2)) (d) None of these

Show that the length of the common chord of the circles (x-a)^(2) + (y-b)^(2) = c^(2) and (x-b)^(2) + (y-a)^(2) = c^(2) is sqrt(4c^(2) -2(a-b)^(2)) unit.

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. A wheel of radius 8 units rolls along the diameter of a semicircle of ...

    Text Solution

    |

  2. The point ([p+1],[p]) is lying inside the circle x^2+y^2-2x-15=0 . T...

    Text Solution

    |

  3. The squared length of the intercept made by the line x=h on the pair o...

    Text Solution

    |

  4. Two parallel tangents to a given circle are cut by a third tangent at ...

    Text Solution

    |

  5. Three equal circles each of radius r touch one another. The radius of ...

    Text Solution

    |

  6. If (mi,1/mi),i=1,2,3,4 are concyclic points then the value of m1m2m3m4...

    Text Solution

    |

  7. The intercept on the line y = x by the circle x^2+y^2-2x=0 is AB. Equ...

    Text Solution

    |

  8. The equation of the locus of the mid-points of chords of the circle 4...

    Text Solution

    |

  9. The chords of contact of the pair of tangents drawn from each point on...

    Text Solution

    |

  10. The circle x^2+y^2-4x-4y+4=0 is inscribed in a triangle which has two ...

    Text Solution

    |

  11. Let a given line L1 intersect the X and Y axes at P and Q respectively...

    Text Solution

    |

  12. Lines 5x + 12y - 10 = 0 and 5x - 12y - 40 = 0 touch a circle C1 of dia...

    Text Solution

    |

  13. On the line segment joining (1, 0) and (3, 0) , an equilateral triangl...

    Text Solution

    |

  14. From a point R(5,8) , two tangents R Pa n dR Q are drawn to a given ci...

    Text Solution

    |

  15. Find the equations of the circles passing through the point (-4,3) and...

    Text Solution

    |

  16. Let A be the centre of the circle x^2+y^2-2x-4y-20=0 Suppose that the ...

    Text Solution

    |

  17. If r1and r2 are the radii of smallest and largest circles which passes...

    Text Solution

    |

  18. From an arbitrary point P on the circle x^2+y^2=9 , tangents are drawn...

    Text Solution

    |

  19. If C1: x^2+y^2=(3+2sqrt(2))^2 is a circle and P A and P B are a pair o...

    Text Solution

    |

  20. The minimum radius of the circle which is orthogonal with both the c...

    Text Solution

    |