Home
Class 12
MATHS
If p and q are respectively the perpendi...

If p and q are respectively the perpendiculars from the origin upon the striaght lines, whose equations are ` x sec theta + y cosec theta =a and x cos theta -y sin theta a = cos 2 theta , then 4p^(2) + q^(2)` is equal to

Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 2|18 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

If p and q are respectively the perpendiculars from the origin upon the straight lines, whose equations are x sec theta + y cosec theta =a and x cos theta -y sin theta = acos 2 theta , then 4p^(2) + q^(2) is equal to

If p and p_1 be the lengths of the perpendiculars drawn from the origin upon the straight lines x sin theta + y cos theta = 1/2 a sin 2 theta and x cos theta - y sin theta = a cos 2 theta , prove that 4p^2 + p^2_1 = a^2 .

If x=a cos theta + b sin theta and y=a sin theta - b cos theta. then a ^(2) +b^(2) is equal to

Eliminate theta from the equation , a=x sin theta-y cos theta and b= x cos theta + y sin theta .

If 2y cos theta =x sin theta and 2x sec theta -y cosec theta =3, then x ^(2) +4y^(2)=

If p_(1) and p_(2) are the lengths of the perpendicular form the orgin to the line x sec theta+y cosec theta=a and xcostheta-y sin theta=a cos 2 theta respectively then prove that 4p_(1)^(2)+p_(2)^(2)=a^(2)

If m and n are length of the perpendicular from origin to the straight lines whose equations are x cot theta - y = 2 cos theta and 4x+3y=-sqrt(5)cos 2theta, (theta in (0, pi)) , respectively, then the value of m^(2)+5n^(2) is

ARIHANT MATHS-THE STRAIGHT LINES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If p and q are respectively the perpendiculars from the origin upon th...

    Text Solution

    |

  2. The lines parallel ot the x-axis and passing through the intersection ...

    Text Solution

    |

  3. A straight line through the point A(3, 4) is such that its intercept ...

    Text Solution

    |

  4. If (a,a^(2)) falls inside the angle made by the lines y=(x)/(2), x g...

    Text Solution

    |

  5. The lines L(1) : y - x = 0 and L(2) : 2x + y = 0 intersect the line ...

    Text Solution

    |

  6. Let P = (-1, 0), Q = (0, 0) and R = (3, 3sqrt3) be three points. The e...

    Text Solution

    |

  7. The perpendicular bisector of the line segment joining P (1, 4) and...

    Text Solution

    |

  8. The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...

    Text Solution

    |

  9. The line L given by x/5+y/b=1 passes through the point (13, 32). Th...

    Text Solution

    |

  10. A straight line L through the point (3,-2) is inclined at an angle 60^...

    Text Solution

    |

  11. The lines L(1) : y - x = 0 and L(2) : 2x + y = 0 intersect the line ...

    Text Solution

    |

  12. If the line 2x + y = k passes through the point which divides the line...

    Text Solution

    |

  13. A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reaching ...

    Text Solution

    |

  14. For a gt b gt c gt 0 if the distance between (1,1) and the point of i...

    Text Solution

    |

  15. Let P S be the median of the triangle with vertices P(2,2), Q(6,-1) ...

    Text Solution

    |

  16. Let a,b, c and d be non-zero numbers. If the point of intersection of...

    Text Solution

    |

  17. For a point P in the plane let d(1)(P)and d(2) be the distance of the ...

    Text Solution

    |

  18. The number of points, having both co-ordinates as integers, that lie i...

    Text Solution

    |

  19. Two sides of a rhombus are along the lines,x-y+1=0 and 7x-y-5=0 . If ...

    Text Solution

    |