Home
Class 12
MATHS
The line joining A (b cos alpha b sin ...

The line joining `A (b cos alpha b sin alpha )` and `B (a cos beta , a sin beta ) ` , where ` a ne b ` , is produced to the point M(x , y) so that AM : BM = b : a . Then `x "cos" (alpha+beta)/(2)+ y "sin" (alpha+beta)/(2)` is equal to _

A

0

B

1

C

`-1`

D

`a^(2) +b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2013)|17 Videos

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2014)|5 Videos

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBHS Archive (2016)|11 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type)|2 Videos

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION ( ASSERTION-REASON TYPE )|2 Videos

Similar Questions

Explore conceptually related problems

The line joining A (b cos alpha, b sin alpha ) and B (a cos beta, a sin beta) , where a ne b , is produced to the point M(x,y) so that AM :MB = b :a Then xcosfrac(alpha+beta)(2)+ysinfrac(alpha+beta)(2)

The lines x cos alpha + y sin alpha = p_1 and x cos beta + y sin beta = p_2 will be perpendicular, if :

If x cos alpha + y sin alpha = x cos beta + y sin beta "then" "tan" (alpha + beta)/2=

sin alpha + sin beta = a "and" cos alpha + cos beta = b sin (alpha + beta) =

sin alpha + sin beta = a "and" cos alpha + cos beta = b cos (alpha + beta) =

If sin alpha = sin beta and cos alpha = cos beta then-

If x cos alpha + y sin alpha=x cos beta+y sin beta,"show that",y=x "tan"(alpha+beta)/2

Prove that (cos alpha - cos beta)^(2) +(sin alpha - sin beta)^(2) = 4 "sin"^(2) (alpha-beta)/2

P( asec alpha, b tan alpha ) and Q (a sec beta, b tan beta) are two given points on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)) = 1. Show that the equation of the chord PQ is (x)/(a) cos (alpha - beta)/(2) - (y)/(b) sin (alpha + beta)/(2) = cos (alpha+beta)/(2).

If cos^2 alpha - sin^2 alpha = tan^2 beta , then the value of (cos^2 beta - sin^2 beta) is____

CHHAYA PUBLICATION-COORDINATE GEOMETRY-WBJEE Archive (2012)
  1. If the equation ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0 represents a pa...

    Text Solution

    |

  2. If the circles x^(2) + y^(2) + 2x + 2ky + 6 = 0 and x^(2) + y^(2) ...

    Text Solution

    |

  3. The line joining A (b cos alpha b sin alpha ) and B (a cos beta , ...

    Text Solution

    |

  4. If four distinct points (2k , 3k ) , (2 , 0) ,(0 , 3) and (0 , 0) lie ...

    Text Solution

    |

  5. Let the foci of the ellipse (x^(2))/(9) + y^(2) = 1 subtend a right ...

    Text Solution

    |

  6. Let P (2 , -3) , Q (-2 , 1) be the vertices of the triangle PQR . If t...

    Text Solution

    |

  7. Let P be the midpoint of a chord joining the vertex of the parabola...

    Text Solution

    |

  8. The line x =2 y intersects the ellipse (x^(2))/(4) +y^(2) = 1 at...

    Text Solution

    |

  9. The eccentric angle in the first quadrant of a point on the ellipse (x...

    Text Solution

    |

  10. The transverse axis of a hyperbola is along the x - axis and its leng...

    Text Solution

    |

  11. A point moves in such a way that the difference of its distances from...

    Text Solution

    |

  12. The number of integer values of m. for which the x - coordinate of the...

    Text Solution

    |

  13. If a straight line passes through the point (alpha , beta) and the...

    Text Solution

    |

  14. Let p , q , r be the altiudes of triangles with area s and perimeter ...

    Text Solution

    |

  15. Let C(1) and C(2) denote the centres of the circles x^(2) +y^(2)...

    Text Solution

    |

  16. A straight line through the point of intersection of the lines x + 2y ...

    Text Solution

    |

  17. Let P and Q be the points on the prabola y^(2) = 4x so that the lin...

    Text Solution

    |

  18. The incentre of an equilateral triangle is (1,1) and the equation of ...

    Text Solution

    |