Home
Class 11
MATHS
If a straight line through the origin bi...

If a straight line through the origin bisects the line passing through the given points `(acosalpha,asinalpha)` and `(acosbeta,asinbeta),` then the lines (a) are perpendicular (b) are parallel (c) have an angle between them of `pi/4` (d) none of these

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

Find the equation of the straight lines passing through the following pair of point: (a\ cosalpha,\ asinalpha)a n d\ (a\ cosbeta,\ asinbeta)

The equation of straight line passing through the point (a,b,c) and parallel to Z-axis, is:

Find the equation to the straight line passing through the origin and perpendicular to x+2y=4

Find the equation to the straight line passing through the point (4, 3) and parallel to 3x+4y=12

Find the equation of the straight line through the origin making angle alpha with the line y=mx+b .

Find the equations of the lines passing through the point (4,5) parallel to lines 3x=4y+7 .

The value of 'p' such that line passing through the points (-4,p)&(1,3) is perpendicular to a line passing through the points (-2,5)and (8,7) is

Find the equation of the straight line parallel to x+2y=3 and passing through the point (3, 4).

Find the equation of the straight lines passing through the following pair of point: (a , b)a n d\ (a+b ,\ a-b)

A line passes through the points A(2,-3) and B(6,3) . Find the slopes of the lines which are , (i) parallel to AB (ii) perpendicular to AB

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If one side of a rhombus has endpoints (4, 5) and (1, 1), then the ...

    Text Solution

    |

  2. A rectangle A B C D , where A-=(0,0),B-=(4,0),C-=(4,2)D-=(0,2) , under...

    Text Solution

    |

  3. If a straight line through the origin bisects the line passing through...

    Text Solution

    |

  4. Let Ar ,r=1,2,3, , be the points on the number line such that O A1,O...

    Text Solution

    |

  5. The vertices of a parallelogram A B C D are A(3,1),B(13 ,6),C(13 ,21),...

    Text Solution

    |

  6. Point A and B are in the first quadrant; point O is the origin. If the...

    Text Solution

    |

  7. In a A B C ,A-=(alpha,beta),B-=(1,2),C-=(2,3), point A lies on the li...

    Text Solution

    |

  8. If y=ae^(mx)+be^(-mx), then (d^2y)/dx^2-m^2y is equals to (a)....

    Text Solution

    |

  9. The vertices of a triangle are A(-1,-7),B(5,1)a n dC(1,4)dot If the ...

    Text Solution

    |

  10. The points (0,8/3),(1,3) and (82 ,30) are the vertices of (A) an obtu...

    Text Solution

    |

  11. Consider the triangle whose vertices are (0,0),(5,12) and (16 ,12) Fi...

    Text Solution

    |

  12. A Point A divides the join of P(-5,1) and Q(3.5) in the ratio k:1. The...

    Text Solution

    |

  13. Find the equation of the circle having center at (2,3) and which tou...

    Text Solution

    |

  14. If the lines x+y=6 and x+2y=4 are diameters of the circle which passes...

    Text Solution

    |

  15. Find the equation of the circle with radius 5 whose center lies on the...

    Text Solution

    |

  16. The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the...

    Text Solution

    |

  17. Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

    Text Solution

    |

  18. If x^2+y^2-2x+2a y+a+3=0 represents the real circle with nonzero radiu...

    Text Solution

    |

  19. Find the equation of the circle having radius 5 and which touches line...

    Text Solution

    |

  20. If the equation p x^2+(2-q)x y+3y^2-6q x+30 y+6q=0 represents a circle...

    Text Solution

    |