Home
Class 12
MATHS
Two points A(-a, 0) and B(a, 0) are give...

Two points `A(-a, 0)` and `B(a, 0)` are given. If C is a variable point lying on one side of the line AB such that `angleCAB- angleCBA=alpha`, where `alpha` is a positive constant, then locus of the point C is

A

`a^(2)+x^(2)+y^(2)+2xycot alpha=0`

B

`a^(2)-x^(2)+y^(2)+2xycot alpha=0`

C

`a^(2)-x^(2)-y^(2)+2xy tan alpha=0`

D

`a^(2)-x^(2)+y^(2)+2xy tan alpha=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2015

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|78 Videos

  • QUESTION PAPER 2019(SOLVED)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|56 Videos

Similar Questions

Explore conceptually related problems

A(a,0) , B(-a,0) are two point . If a point P moves such that anglePAB - anglePBA = 2alpha then find the locus of P .

Let coordinates of the points A and B are (5,0) and (0,7) respectively. P and Q the variable point lying on the x-axis and y-axis respectively so that PQ is always perpendicular to the line AB. The locus of the point of intersection BP and AQ is

A point moves rectilinearly with deceleration whose modulus depends on the velocity v of the particle as alpha=ksqrtv , where k is a positive constant. At the initial moment the velocity of the point is equal to V_0 . What distance will it take to cover that distance?

A(-9, 0) and B(-1, 0) are two points. If P(x, y) is a point such that 3PB = PA , then the locus of P is

A (a,0) , B (-a,0) are two points . If a point P moves such that anglePAB - anglePBA = pi//2 then find the locus of P.

The position of moving point in xy plane at time 't' is given by (u cos alpha t, usin alpha(t - pt^2)) where u,alpha,p are constants . Find the equation of locus of the moving point.

The locus of the point of intersection of the lines x cos alpha+y sin alpha =a and x sin alpha-y cos alpha=b , where alpha is a parameter is

If A = (-1,2) and B=(1,-2) are two points and P is a variable point such that the area of Delta PAB is always one, then the equation of the locus of P is

TS EAMCET PREVIOUS YEAR PAPERS-QUESTION PAPER 2019-Mathematics
  1. Suppose a line makes an angle of 120^(@) with the positive direction o...

    Text Solution

    |

  2. Two straight lines are drawn through the points (0, 2) such that the l...

    Text Solution

    |

  3. Two points A(-a, 0) and B(a, 0) are given. If C is a variable point l...

    Text Solution

    |

  4. If the angle between the pair of lines x^(2)+2sqrt(2)xy+ky^(2)=0, k gt...

    Text Solution

    |

  5. If d is the distance between the point of intersection of the lines ...

    Text Solution

    |

  6. A line meets coordinate axes in A and B. A circle is circumscribed ab...

    Text Solution

    |

  7. The centre of the circle passing through the point (0, 1) and touching...

    Text Solution

    |

  8. If the number of common tangents to the pair of circles x^(2)+y^(2)-2x...

    Text Solution

    |

  9. Find the equation of the circle which touches the circle x^(2) + y^(...

    Text Solution

    |

  10. The equation of a circle with the circle x^(2)+y^(2)-6x+12y+15=0 and h...

    Text Solution

    |

  11. If the locus of a point which divides a chord with slope 2 of the para...

    Text Solution

    |

  12. If the normal at one end of the latusrectum of the parabola y^(2)=16x...

    Text Solution

    |

  13. Assertion (A) If the tangent and normal to the ellipse 9x^(2)+16y^(2)=...

    Text Solution

    |

  14. If x+y+n=0, n gt 0 is a normal to the ellipse x^(3)+3y^(2)=3 and x^(2)...

    Text Solution

    |

  15. The product of lengths of the perpendiculars from the point of the hyp...

    Text Solution

    |

  16. If a triangle ABC with two vertices A(5, 4, 6) and B(1, -1, 3) has its...

    Text Solution

    |

  17. Let ABC be a triangle with A(alpha, 5, beta), B(-2,1,6) and C(1, 0, -...

    Text Solution

    |

  18. The equation of the plane in cartesian form, which is at a distance o...

    Text Solution

    |

  19. {:(" lim"),(x rarr 0):}((sinh 2x)/(2x))^(1/x^(2))=

    Text Solution

    |

  20. If the function f:R rarr R defined by {:{(a((1-cos2x)/(x))",","for ...

    Text Solution

    |