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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Example|3 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise JEE Tyep Solved Examples : (Paragraph Based Questions)|12 Videos
  • SETS, RELATIONS AND FUNCTIONS

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

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

Similar Questions

Explore conceptually related problems

If p\ and\ q be the perpendicular form the origin upon the straight lines x s e ctheta+ycosectheta=a\ and\ xcostheta-y sintheta=acos2theta Prove that : 4p^2+q^2=a^2\ dot

Eliminate theta from a sin theta + bcos theta = x "and" a cos theta -b sin theta = y

If x = 3 cos theta - 2 cos^3 theta,y = 3 sin theta - 2 sin^3 theta , then dy/dx is

Find (dy)/(dx) if x= 3 cos theta - cos 2theta and y= sin theta - sin 2theta.

if x = "cos" theta - "cos" 2 theta, y = "sin" theta - "sin" 2 theta , then dy/dx is

If tan theta = p/q then (p sin theta - q cos theta)/(p sin theta + q cos theta)=

If x sin^3 theta+ y cos^3 theta = sin theta cos theta and x sin theta = y cos theta, Find the value of x^2 + y^2.

Eliminate theta from the following equation : x cos theta - y sin theta = a, x sin theta + y cos theta = b

Solve : cos p theta = sin q theta.

Let x= cos theta and y = sin theta for any real value theta . Then x^(2)+y^(2)=

ARIHANT MATHS ENGLISH-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 line parallel to the x-axis and passing through the intersection o...

    Text Solution

    |

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

    Text Solution

    |

  4. The line L1:""y""-""x""=""0 and L2:""2x""+""y""=""0 intersect the line...

    Text Solution

    |

  5. Let P-=(-1,0),Q-=(0,0), "and " R-=(3,3sqrt(3)) " be three points". T...

    Text Solution

    |

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

    Text Solution

    |

  7. 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

    |

  8. The Line L given by (x)/(5) + (y)/(b) =1 passes through the point (13,...

    Text Solution

    |

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

    Text Solution

    |

  10. The line L1:""y""-""x""=""0 and L2:""2x""+""y""=""0 intersect the line...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. For a gt b gt c gt 0, the distance between (1, 1) and the point of int...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. For a point P in the plane, let d(1)(P) " and " d(2)(P) be the distanc...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |