Home
Class 12
MATHS
Let a place P contain two lines vecr ...

Let a place P contain two lines
`vecr = hati + lambda(hati + hatj), lambda in R` and
`vecr =-hatj + mu(hatj - hatk) , mu in R` .
If `Q(alpha, beta, gamma)` is the food of the perpendicular drawn from the point M(1,0,1) to P, then `3(alpha + beta + gamma)` equals ____________.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

The shortest distance between the lines vecr = (-hati - hatj) + lambda(2hati - hatk) and vecr = (2hati - hatj) + mu(hati + hatj -hatk) is

Find the angle between the line vecr = (hati +2hatj -hatk ) +lambda (hati - hatj +hatk) and vecr cdot (2hati - hatj +hatk) = 4.

The equation of the plane containing the lines vecr=(hati+hatj-hatk)+lamda(3hati-hatj) and vecr=(4hati-hatk)+mu(2hati+3hatk) , is

which of the following point lies on plane contaning lines vecr=hati+lambda(hati+hatj+hatk) and vecr = -hatj+mu(-hati-2hatj+hatk)

Find the shortest distance between the lines vecr = hati+ hatj+hatk+lambda(3hati-hatj) and vecr=4hati-hatk+mu(2hati+3hatk)

Find the shortest distance the lines vecr = hati+hatj+lambda(2hati-hatj+hatk) and vecr = (2 hati+hatj+hatk) - mu (3hati-5hatj)

The shortest distance between the lines vecr = (2hati - hatj) + lambda(2hati + hatj - 3hatk) vecr = (hati - hatj + 2hatk) + lambda(2hati + hatj - 5hatk)

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. If int sin^(-1) ( sqrt( (x)/(1 + x) ) )dx = A(x) tan^(-1) (sqrtx) + B...

    Text Solution

    |

  2. Let S be the set of all integer solutions, (x,y,z) of the system of eq...

    Text Solution

    |

  3. Let a place P contain two lines vecr = hati + lambda(hati + hatj), ...

    Text Solution

    |

  4. m A.M. and 3 G.M. are inserted between 3 and 243 such that 2^(nd) GM=4...

    Text Solution

    |

  5. If the tangent to the curve y= e^x at a point (c, e^c) and the normal ...

    Text Solution

    |

  6. The total number of 3-digit numbers, whose sum of digits is 10, is .

    Text Solution

    |

  7. If (a+sqrt2b cosx)(a-sqrt2b cosy)=a^2-b^2, where a gt b gt 0 , then ...

    Text Solution

    |

  8. The mean and variance of 8 observations are 10 and 13.5 respectively ....

    Text Solution

    |

  9. 1+(1-1.2^2)+(1-3.4^2)+(1-5.6^2)+.....(1-19.20^2) = alpha-220beta fi...

    Text Solution

    |

  10. A survey shows that 63% of the people watch a news channal whereas ...

    Text Solution

    |

  11. The following statement (pvecq)vec[(~ pvecq)vecq] is: equivalent t...

    Text Solution

    |

  12. If two vertical pale AB and CD of height 15 m and 10 m and A and C are...

    Text Solution

    |

  13. If f is twice differentiable function for x in R such that f(2)=5,f'(2...

    Text Solution

    |

  14. sum(r=0)^(20).^(50-r)C6

    Text Solution

    |

  15. If A=[{:(Costheta ,isintheta),("isintheta,costheta):}],(theta=pi/24)an...

    Text Solution

    |

  16. If alpha and beta are roots of x^2-3x+p=0 and gamma and delta are the ...

    Text Solution

    |

  17. Let x^2/a^2+y^2/b^2=1(agtb) be a given ellipse, length of whose latus...

    Text Solution

    |

  18. A triangle ABC laying in the first quadrant has two vertices as A(1 , ...

    Text Solution

    |

  19. If from point P(3,3) on the hyperbola a normal is drawn which cuts x-a...

    Text Solution

    |

  20. The integral int((X)/(xsinx + cosx))^2dx is equal to (where C is a c...

    Text Solution

    |