Home
Class 12
MATHS
The length of the perpendicular drawn fr...

The length of the perpendicular drawn from the point `P(a , b , c)` from z-axis is `sqrt(a^2+b^2)` b. `sqrt(b^2+c^2)` c. `sqrt(a^2+c^2)` d. `sqrt(a^2+b^2+c^2)`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    RD SHARMA ENGLISH|Exercise All Questions|806 Videos

  • FUNCTION

    RD SHARMA ENGLISH|Exercise All Questions|406 Videos

Similar Questions

Explore conceptually related problems

The length of the perpendicular drawn from the point P(a , b , c) from z-axis is a. sqrt(a^2+b^2) b. sqrt(b^2+c^2) c. sqrt(a^2+c^2) d. sqrt(a^2+b^2+c^2)

The length of the perpendicular drawn from the point P(3,4,5) on y-axis is a. 3sqrt(2) b. 5 c. sqrt(113) d. 5sqrt(2) e. sqrt34

The perpendicular distance of the point P(3,3,4) from the x-axis is 3sqrt(2) b. 5 c. 3 d. 4

A plane passes through a fixed point (a ,b ,c)dot The locus of the foot of the perpendicular to it from the origin is a sphere of radius a. 1/2sqrt(a^2+b^2+c^2) b. sqrt(a^2+b^2+c^2) c. a^2+b^2+c^2 d. 1/2(a^2+b^2+c^2)

Prove that the product of the lengths of the perpendiculars drawn from the points (sqrt(a^2-b^2),0) and (-sqrt(a^2-b^2),0) to the line x/a costheta + y/b sintheta=1 is b^2 .

Prove that the product of the lengths of the perpendiculars drawn from the points (sqrt(a^2-b^2),0) and (-sqrt(a^2-b^2),0) to the line x/a costheta + y/b sintheta=1 is b^2 .

Prove that the product of the lengths of the perpendiculars drawn from the points (sqrt(a^2-b^2),""""0) and (-sqrt(a^2-b^2),""""0) to the line x/a costheta + y/b sintheta=1 is b^2 .

(a) a^2+b^2 (b) a+b (c) a^2-b^2 (d) sqrt(a^2+b^2)

The length of the chord of the parabola y^2=x which is bisected at the point (2, 1) is (a) 2sqrt(3) (b) 4sqrt(3) (c) 3sqrt(2) (d) 2sqrt(5)

The radius of the circle passing through the points (1, 2), (5, 2) and (5, -2) is : (A) 5sqrt(2) (B) 2sqrt(5) (C) 3sqrt(2) (D) 2sqrt(2)

RD SHARMA ENGLISH-DIRECTION COSINES AND DIRECTION RATIOS-All Questions
  1. Write the inclination of a line with Z-axis, if its direction ratio...

    Text Solution

    |

  2. Find the angel between the vectors with direction ratios proportion...

    Text Solution

    |

  3. Write the distance of the point P(2,3,5) from the xy-plane.

    Text Solution

    |

  4. Write the coordinates the reflections of point (3,\ 5) in X and Y -...

    Text Solution

    |

  5. Find the distance of the point (2, 3, 4) from the x- axis.

    Text Solution

    |

  6. If a line has direction ratios proportional to 2, -1, -2, then what...

    Text Solution

    |

  7. Write the direction cosines of a line parallel to z-axis.

    Text Solution

    |

  8. If a unit vector vec a makes angles pi/3 with hat i ,pi/4 with hat ...

    Text Solution

    |

  9. For every point P(x ,\ y ,\ z) on the xy-plane, a. x=0 b. y=0 c. ...

    Text Solution

    |

  10. For every point (x\ , y ,\ z) on the x- axis (except the origin) a....

    Text Solution

    |

  11. A rectangular parallelepiped is formed by planes drawn through the p...

    Text Solution

    |

  12. A parallelepiped is formed by planes drawn through the points (2, 3...

    Text Solution

    |

  13. The xy-plane divided the line joining the points(-1, 3, 4) and (2, -5,...

    Text Solution

    |

  14. If the x-coordinate of a point P on the join of Q(2, 2, 1) and R(5, 1,...

    Text Solution

    |

  15. The length of the perpendicular drawn from the point P(a , b , c) from...

    Text Solution

    |

  16. Ratio in which the xy-plane divides the join of (1, 2, 3) and (4, 2...

    Text Solution

    |

  17. If P (3,2,−4) , Q (5,4,−6) and R (9,8,−10)  are collinear, then  ...

    Text Solution

    |

  18. If O is the origin, OP = 3, with direction ratios -1, 2 and -2, then f...

    Text Solution

    |

  19. Show that the angle between two diagonals of a cube is cos^(-1)sqrt(1/...

    Text Solution

    |

  20. A line makes angles angle, beta, gamma and delta with the diagonals of...

    Text Solution

    |