Home
Class 12
MATHS
If for a gt 0, the feet of perpendicula...

If for `a gt 0,` the feet of perpendiculars from the points A(a, - 2a, 3) and B(0,4,5) on the plane Ix +my+nz=0 are points c(0, -a, -1) and D respectively, then the length of line segment CD is equal to :

A

`sqrt55`

B

`sqrt41`

C

`sqrt66`

D

`sqrt31`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION B)|30 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS SECTION A|40 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise (SECTION - B)|10 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

Find the length and the foot of perpendicular from the point (1,3/2,2) to the plane 2x-2y+4z+5=0

Find the length of perpendicular from the point A(1,4,-2) to the line joining (2,1,-2) and (0,-5,1)

Find the length of perpendicular from point (3,-2) to the line 3x-4y-2=0 .

perpendicular distance of the point (0,0,0) from the plane 2x-3y+6z+14=0

If the length of the perpendicular from the point (1, 1) to the line ax-by+c=0 be , show that 1/c + 1/a - 1/b = c/(2ab)

The foot of the perpendicular drawn form the point (4,2,3) to the line joining the points (1,-2,3) and (1,1,0) lies on the plane:

Let F be the foot of perpendicular and I be the image of the point (2,-3) with respect to the line 4x-3y+8=0 respectively,then the mid- point of line segment FI is (a)-4(c) 4,2)

If the foot of the perpendicular drawn from the point (0,0,0) to the plane is (4,-2,-5) then the equation of the plane is . . .

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-MATHEMATICS (SECTION A)
  1. If for x in (0, (pi)/(2) ) , log (10) sin x + log (10) cos x =-1 and ...

    Text Solution

    |

  2. Let the position vectors of two points P and Q be 3 hati - hatj + 2 ha...

    Text Solution

    |

  3. If for a gt 0, the feet of perpendiculars from the points A(a, - 2a, ...

    Text Solution

    |

  4. Let P be a plane Ix+my+nz=0 containing the line, (1-x)/(1) = (y+4)/(2)...

    Text Solution

    |

  5. If n is the number of irrational terms in the expansion of (3 ^(1//4) ...

    Text Solution

    |

  6. Which of the following Boolean expression is a tautology ?

    Text Solution

    |

  7. The system of equations kx + y + z =1, x + ky + z = k and x + y + zk ...

    Text Solution

    |

  8. If the fourth term in the expansion of ( x + x^(log(2) x ))^(7) is 44...

    Text Solution

    |

  9. If the Boolean expression ( p rArr q ) hArr ( ~q ** p ) is a tautology...

    Text Solution

    |

  10. Which of the following is true for y(x) that satisfies the differentia...

    Text Solution

    |

  11. Choose the incorrect statement about the two circles whose equations a...

    Text Solution

    |

  12. If A = ({:(0, sin alpha),(sinalpha,0):}) and det ( A^(2) - ( 1)/( 2) ...

    Text Solution

    |

  13. If cot^(-1) ( alpha) = cot^(-1)(2) + cot^(-1)(8) + cot^(-1)(18) + cot ...

    Text Solution

    |

  14. Two dices are rolled. If both dices have six faces numbered 1,2,3,5,7 ...

    Text Solution

    |

  15. In a triangle PQR , the co-ordinates of the points P and Q are ( -2,4)...

    Text Solution

    |

  16. Which of the following statements is incorrect for the function g ( al...

    Text Solution

    |

  17. What is the inverse of the function y=5^(logx)?

    Text Solution

    |

  18. Team 'A' consists of 7 boys and n girls and Team 'B' has 4 boys and 6 ...

    Text Solution

    |

  19. Let vec( a) = 2 hat(i) - 3 hat(j) + 4 hat(k) and vec( b) = 7 hat(i) + ...

    Text Solution

    |

  20. In a school, there are three types of games to be played. Some of the ...

    Text Solution

    |