Home
Class 12
MATHS
Find the distance of the point (-1,-5,-1...

Find the distance of the point `(-1,-5,-10)` from the point of intersection of line ` vec r=2 hat i- hat j+2 hat k+lambda(3 hat i+4 hat j+2 hat k)` and the plane ` vec rdot( hat i- hat j+ hat k)=5.`

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

The distance of the point (-1, -5, -10) from the point of intersection of the line vec r=2 hat i- hat j+2 hat k+lambda(3 hat i+4 hat j+12 hat k) and the plane vec rdot(( hat i- hat j+ hat k)=5 is a. 9 b. 17 c. 13 d. none of these

Find the distance of the point (-1,-5,-10) from the point of intersection of the line vec r=2hat i-hat j+2hat k+lambda(3hat i+4hat j+2hat k) and the plane vec r*(hat i-hat j+hat k)=5

Find the distance of the point (-1,-5,-10), from the point of intersection of the line vec r=(2hat i-hat j+2k)+lambda(3hat i+4hat j+2hat k) and the plane vec r.(hat i-hat j+hat k)=5

find the distance between (-1,-5,-10) from the point of intersection of the line vec r=2hat i-hat j+2hat k+lambda(3hat i+4hat j+2hat k) and the plane vec r*(hat i-hat j+hat k)=5

Find the distance of the point with position vector -hat i-5 hat j-10 hat k from the point of intersection of the line vec r=(2 hat i- hat j+2 hat k)+lambda(3 hat i+4 hat j+12 hat k) with the plane vec rdot(( hat i- hat j+ hat k)=5.

Find the angle between the line vec r=(2hat i-hat j+3hat k)+lambda(3hat i-hat j+2hat k) and the plane vec r*(hat i+hat j+hat k)=3

Find the angle between the line vec r=hat i+2hat j-hat k+lambda(hat i-hat j+hat k) and the plane vec r*(2hat i-hat j+hat k)=4

Find the point of intersection of the line : vec(r) = (hat(i) + 2 hat(j) + 3 hat(k) ) + lambda (2 hat(i) + hat(j) + 2 hat(k)) and the plane vec(r). (2 hat(i) - 6 hat(j) + 3 hat(k) ) + 5 = 0.

Find the angle between the lines vec r*(hat i+2hat j-hat k)+lambda(hat i-hat j+hat k) and the plane vec r*(2hat i-hat j+hat k)=4

The line vec r= hat i+lambda(2 hat i-m hat j-3 hat k) is parallel to the plane vec rdot((\ m hat i+3 hat j+ hat k)=4 . Find mdot

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. A card from a pack of 52 playing cards is lost. From the remaining ...

    Text Solution

    |

  2. Find the distance between the point (7,2,4) and the plane determined b...

    Text Solution

    |

  3. Find the distance of the point (-1,-5,-10) from the point of inters...

    Text Solution

    |

  4. Find the intervals in which the function f(x)=3x^4-4x^3-12 x^2+5 is (a...

    Text Solution

    |

  5. Assume that each born child is equally likely to be a boy or ...

    Text Solution

    |

  6. Let ** be a binary operation, on the set of all-zero real numbers, giv...

    Text Solution

    |

  7. If 2[3 4 5x]+[1y0 1]=[7 0 10 5], find (x-y)dot

    Text Solution

    |

  8. If "sin"(sin^(-1)\ 1/5+cos^(-1)x)=1, then find the value of xdot

    Text Solution

    |

  9. If |[2x,5],[ 8,x]|=|[6,-2],[ 7, 3]|, write the value of x

    Text Solution

    |

  10. Solve the following matrix equation for x : ,[x1][1 0-2 0]-Odot

    Text Solution

    |

  11. Evaluate : int0^3(dx)/(9+x^2)

    Text Solution

    |

  12. Write the antidervative of (3sqrt(x)+1/(sqrt(x)))dot

    Text Solution

    |

  13. If vec a and vec b are two unit vectors such that vec a+ vec b is a...

    Text Solution

    |

  14. Find the projection of the vector hat i+3 hat j+7 hat k on the vector...

    Text Solution

    |

  15. Show that the lines (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6)/...

    Text Solution

    |

  16. Find the equations of the tangent and normal to the curve x=asin^3t...

    Text Solution

    |

  17. Evaluate : int(pi/6)^(pi/3)(dx)/(1+sqrt(cotx))

    Text Solution

    |

  18. Show that the semi-vertical angle of the cone of the maximum volume an...

    Text Solution

    |

  19. Prove that cot^(-1)((sqrt(1+sin)+sqrt(1-sinx))/(1sqrt(1+sin)-sqrt(1...

    Text Solution

    |

  20. Prove that 2tan^(-1)(1/5)+sec^(-1)((5sqrt(2))/7)+2tan^(-1)(1/8)=pi/4...

    Text Solution

    |