Home
Class 11
MATHS
If S(1)=alpha^(2)+beta^(2)-a^(2), then a...

If `S_(1)=alpha^(2)+beta^(2)-a^(2)`, then angle between the tangents from `(alpha, beta)` to the circle `x^(2)+y^(2)=a^(2)`, is

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If the chord of contact of the tangents from the point (alpha, beta) to the circle x^(2)+y^(2)=r_(1)^(2) is a tangent to the circle (x-a)^(2)+(y-b)^(2)=r_(2)^(2) , then

Find the condition that the chord of contact of tangents from the point (alpha, beta) to the circle x^2 + y^2 = a^2 should subtend a right angle at the centre. Hence find the locus of (alpha, beta) .

Find the condition that the chord of contact of tangents from the point (alpha, beta) to the circle x^2 + y^2 = a^2 should subtend a right angle at the centre. Hence find the locus of (alpha, beta) .

If alpha, beta are the roots of x^(2)+x+1=0 , then alpha^(-2)+beta^(-2) is

The angle between the lines (x^(2)+y^(2))sin^(2)alpha=(x cos beta-y sin beta)^(2) is

If alpha, beta are the roots of x^(2)+3x+1=0 , then the equation whose roots 2-alpha, 2-beta is

If alpha, beta are the roots of x^(2)+2x-1=0 , then the equation whose roots are alpha^(2), beta^(2) is

Tangents drawn from the point (c, d) to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 make angles alpha and beta with the x-axis. If tan alpha tan beta=1 , then find the value of c^(2)-d^(2) .

Factorise alpha^2 +beta^2 + alpha beta

If alpha,beta are the roots of the equation x^(2)-2x-1=0 , then what is the value of alpha^(2)beta^(-2)+alpha^(-2)beta^(2) ?

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Prove that the equation of any tangent to the circle x^2+y^2-2x+4y-4=0...

    Text Solution

    |

  2. The tangent to the circle x^2+y^2=5 at (1,-2) also touches the circle ...

    Text Solution

    |

  3. If S(1)=alpha^(2)+beta^(2)-a^(2), then angle between the tangents from...

    Text Solution

    |

  4. If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1...

    Text Solution

    |

  5. Find the angle between the two tangents from the origin to the circle ...

    Text Solution

    |

  6. Two circles C1 and C2 intersect at two distinct points PandQ in a line...

    Text Solution

    |

  7. Find the equation of the tangent at the endpoints of the diameter of ...

    Text Solution

    |

  8. Find the equations of the tangents to the circle x^2+y^2-6x+4y=12 whic...

    Text Solution

    |

  9. If from any point P on the circle x^2+y^2+2gx+2fy+c=0, tangents are dr...

    Text Solution

    |

  10. The lengths of the tangents from P(1,-1) and Q(3,3) to a circle are sq...

    Text Solution

    |

  11. Which of the following is a point on the common chord of the circle x^...

    Text Solution

    |

  12. If the circles x^2+y^2+2a x+c y+a=0 and x^2+y^2-3a x+d y-1=0 intersec...

    Text Solution

    |

  13. Find the angle at which the circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 in...

    Text Solution

    |

  14. Find the angle which the common chord of x^2+y^2-4x-4y=0 and x^2+y^2=1...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and...

    Text Solution

    |

  18. If the circle x^(2)+y^(2)=1 is completely contained in the circle x^(2...

    Text Solution

    |

  19. Prove that the pair of straight lines joining the origin to the points...

    Text Solution

    |

  20. The circles x^2+y^2-12 x-12 y=0 and x^2+y^2+6x+6y=0. a.touch each oth...

    Text Solution

    |