Home
Class 12
MATHS
The angle between the lines x cos alpha ...

The angle between the lines `x cos alpha + y sin alpha = a` and `x sin beta - y cos alpha = a` is

A

`alpha+beta`

B

`alpha-beta`

C

`alpha beta`

D

`2 alpha-beta`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

The lines x cos alpha + y sin alpha = P_1 and x cos beta + y sin beta = P_2 will be perpendicular, if :

The acute angle between the lines x^(2)-2 x y sec alpha+y^(2)=0 is

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

The angle between the lines sin^(2) alpha.y^(2) -2xy.cos^(2) alpha + (cos^(2) alpha -1)x^(2) =0 is

"Evaluate "Delta ={:|( 0 , sin alpha ,-cos alpha ) ,( -sin alpha , 0 , sin beta ),( cos alpha , -sin beta , 0)|:}

The circle on the chord x cos alpha + y sin alpha -p= 0 of the circle x^2 + y^2 - 2 = 0 as diameter is:

If alpha, beta and gamma are angles such that tan alpha+tan beta+tan gamma=tan alpha . tan beta . tan gamma and x=cos alpha+i sin alpha, y=cos beta+i sin beta and z=cos gamma+i sin gamma , then x y z=

The real part of [[cos alpha+i sin alpha, cos beta+i sin beta],[ sin beta+i cos beta, sin alpha+i cos alpha]] is

If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. The variable line (x)/(a)+(y)/(b)=1 is such that a+b=10 . The locus of...

    Text Solution

    |

  2. If A=(-3,4), B=(-1,-2), C=(5,6), D=(x,-4) are vertices of a quadrilate...

    Text Solution

    |

  3. The angle between the lines x cos alpha + y sin alpha = a and x sin be...

    Text Solution

    |

  4. The coordinates of the foot of the perpendicular from the point (2,3) ...

    Text Solution

    |

  5. If 2 x+3 y+4=0 is the perpendicular bisector of the segment joining th...

    Text Solution

    |

  6. The point of intersection of the lines (x + 1)/(3) = (y + 3)/(5) = (z...

    Text Solution

    |

  7. If non-zero numbers a, b, c are in H.P., then the straight line (x)/(...

    Text Solution

    |

  8. A=(-9,0) and B=(-1,0) are two points. If P(x, y) is a point such that ...

    Text Solution

    |

  9. Let a and b non zero reals such that a ne b then the equation of the l...

    Text Solution

    |

  10. The reflection of the point (6,8) in the line x=y is

    Text Solution

    |

  11. The equation of the line passing through the intersection of the lines...

    Text Solution

    |

  12. If the lines y=4-3 x, a y=x+10 and 2 y+b x+9=0 represent the three con...

    Text Solution

    |

  13. The equation of the line making an intercept of 3 units on Y -axis and...

    Text Solution

    |

  14. The ratio in which the line y=x divides the segment joining (2,3) and ...

    Text Solution

    |

  15. If the points (1, 2) and (3, 4) were to be on the same side of the lin...

    Text Solution

    |

  16. The vertices of a triangle are (6, 0), (0, 6) and (6, 6). The distance...

    Text Solution

    |

  17. If the point x(1)+t(x(2)-x(1)), y(1)+t(y(2)-y(1)) divides the join of ...

    Text Solution

    |

  18. The co-ordinates of the image of the origin O. w.r.t. st. line x+y+1=0...

    Text Solution

    |

  19. A straight rod of length 9 units slides with its ends A, B always on t...

    Text Solution

    |

  20. The area of the triangle formed by the axes and the lines (cosh alpha-...

    Text Solution

    |