Home
Class 11
MATHS
If p be the length of theperpendicular f...

If `p` be the length of theperpendicular from the origin on the line `x//a+y//b` `=1,` then `p^2=a^2+b^2` b. `p^2=1/(a^2)+1/(b^2)` c. `1/(p^2)=1/(a^2)+1/(b^2)` d. none of these

Text Solution

Verified by Experts

Given line
`\frac{x}{a}+\frac{y}{b}=1 `
`\frac{x}{a}+\frac{y}{b}-1=0`
`p` is the length of perpendicular from origin to given line ...
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    RD SHARMA|Exercise Solved Examples And Exercises|144 Videos
  • TRANSFORMATION FORMULAE

    RD SHARMA|Exercise Solved Examples And Exercises|145 Videos

Similar Questions

Explore conceptually related problems

If 2p is the length of perpendicular from the origin to the lines (x)/(a)+(y)/(b)=1, then a^(2),8p^(2),b^(2) are in

if P is the length of perpendicular from origin to the line (x)/(a)+(y)/(b)=1 then prove that (1)/(a^(2))+(1)/(b^(2))=(1)/(p^(2))

I.If p is the length of the perpendicular from the origin on the line (x)/(a)+(y)/(b)=1 and a^(2),p^(2),b^(2) are in A.P,then a^(4)-2p^(2)a^(2)+2p^(4)=

If p is the length of perpendicular from the origin to the line whose intercepts on the axes are a and b,then show that (1)/(p^(2))=(1)/(a^(2))+(1)/(b^(2))

If p is the length of perpendicular from the origin to the line whose intercepts on the axes are a and b,then show that (1)/(p^(2))=(1)/(a^(2))+(1)/(b^(2))

If p is the length of perpendicular from the origin on the line (x)/(a)+(y)/(b)=1 and a^(2) , p^(2) and b^(2) are in AP, the show that a^(4)+b^(4)=0 .

RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. The area of a triangle with vertices at (-4,-1), (1,2) and (4,-3) is ...

    Text Solution

    |

  2. The line segment joining the points (1,2) and (-2,1) is divided by the...

    Text Solution

    |

  3. If the point (5,2) bisects the intercept of a line between the axes, ...

    Text Solution

    |

  4. A\ (6,3),\ B(-3,5),\ C(4,-2)\ a n d\ D(x ,3x) are four points. If "Del...

    Text Solution

    |

  5. If p be the length of theperpendicular from the origin on the line x//...

    Text Solution

    |

  6. The equation of the line passing through (1,5) and perpendicular to th...

    Text Solution

    |

  7. The figure formed by the lines a x+-y+-c=0 is a. a rectangle b. a squa...

    Text Solution

    |

  8. Two vertices of triangle are (-2,-1) and (3,2) and third vertex lies o...

    Text Solution

    |

  9. (i) Find the gradient of a straight line which is passes through the p...

    Text Solution

    |

  10. The angle between the lines 5x+3y-7=0\ a n d\ 15 x+9y+14=0 is ^0 d. 30...

    Text Solution

    |

  11. Distance between the lines 5x+3y-7=0\ a n d\ 15 x+9y+14=0 is (35)/(sq...

    Text Solution

    |

  12. The value of lambda for which the lines 3x+4y=5,5x+4y=4\ a n d\ lambda...

    Text Solution

    |

  13. Three vertices of a parallelogram, taken in order, are (-1, -6), (2...

    Text Solution

    |

  14. The centroid of triangle is (2,7) and two of its vertices are (4,8)...

    Text Solution

    |

  15. The medians A D\ a n d\ B E of a triangle with vertices A(0, b),\ B(0,...

    Text Solution

    |

  16. The equation of the line with gradient -3/2 which is concurrent with t...

    Text Solution

    |

  17. A point equidistant from the line 4x+3y+2=0,\ 5x-12 y+26=0\ a n d\ 7x+...

    Text Solution

    |

  18. Find the ratio in which the line 3x+4y+2=0 divides the distance betwee...

    Text Solution

    |

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

    Text Solution

    |

  20. Find the image of the point (4,-13) in the line 5x+y+6=0.

    Text Solution

    |