Home
Class 12
MATHS
Lines whose equation are (x-3)/(2)=(y-2)...

Lines whose equation are `(x-3)/(2)=(y-2)/(3)=(z-1)/(lamda)` and `(x-2)/(3)=(y-3)/(2)=(z-2)/(3)` lie in same plane, then.
Q. The value of `sin^(-1)sinlamda` is equal to

A

`3`

B

`pi-3`

C

`4`

D

`pi-4`

Text Solution

Verified by Experts

The correct Answer is:
D
Line are in same plane to
`|(1, -1, -1),(2, 3, lamda),(3, 2, 3)|=0implies1(9-2lamda)+1(-3lamda)-1(-5)=0`
`20-5lamda=0implieslamda=4`
So `sin^(-1)sin4=sin^(-1)sin(pi-4)=pi-4`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise Math|105 Videos

  • TEST PAPER

    RESONANCE ENGLISH|Exercise MATHEMATICS|48 Videos

  • TEST SERIES

    RESONANCE ENGLISH|Exercise MATHEMATICS|132 Videos

Similar Questions

Explore conceptually related problems

Two line whose are (x-3)/(2)=(y-2)/(3)=(z-1)/(lambda) and (x-2)/(3)=(y-3)/(2)=(z-2)/(3) lie in the same plane, then, Q. The value of sin^(-1)sinlambda is equal to

Lines whose equation are (x-3)/2=(y-2)/3=(z-1)/(lamda) and (x-2)/3=(y-3)/2=(z-2)/3 lie in same plane, then. The value of sin^(-1)sinlamda is equal to

Two line whose equations are (x-3)/(2)=(y-2)/(3)=(z-1)/(3) and (x-2)/(3)=(y-3)/(2)=(z-2)/(3) find the angle between them

Lines whose equation are (x-3)/2=(y-2)/3=(z-1)/(lamda) and (x-2)/3=(y-3)/2=(z-2)/3 lie in same plane, then. Angle between the plane containing both lines and the plane 4x+y+2z=0 is

Two line whose are (x-3)/(2)=(y-2)/(3)=(z-1)/(lambda) and (x-2)/(3)=(y-3)/(2)=(z-2)/(3) lie in the same plane, then, Q. Point of intersection of the lines lies on

If the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(lamda) and (x-1)/(lamda)=(y-4)/(2)=(z-5)/(1) intersect then

If the lines (x)/(1)=(y)/(2)=(z)/(3), (x-k)/(3)=(y-3)/(-1)=(z-4)/(h) and (2x+1)/(3)=(y-1)/(1)=(z-2)/(1) are concurrent, then the value of 2h-3k is equal to

Two lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=(z)/(1) intersect at a point P. If the distance of P from the plane 2x-3y+6z=7 is lambda units, then the value of 49lambda is equal to

The lines x/1=y/2=z/3 and (x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6) are

Equation of the plane passing through the point of intersection of lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2)&(x-3)/(1)=(y-1)/(2)=(z-2)/(3) and perpendicular to the line (x+5)/(2)=(y-3)/(3)=(z+1)/(1) is

RESONANCE ENGLISH-TEST PAPERS-MATHEMATICS
  1. Consider a quadratic equation az^(2)bz+c=0, where a,b and c are comple...

    Text Solution

    |

  2. Consider a quadratic equation az^(2)bz+c=0, where a,b and c are comple...

    Text Solution

    |

  3. Lines whose equation are (x-3)/(2)=(y-2)/(3)=(z-1)/(lamda) and (x-2)/(...

    Text Solution

    |

  4. Lines whose equation are (x-3)/(2)=(y-2)/(3)=(z-1)/(lamda) and (x-2)/(...

    Text Solution

    |

  5. A die is rolled and showing any number is directly proportional to tha...

    Text Solution

    |

  6. A die is rolled and showing any number is directly proportional to tha...

    Text Solution

    |

  7. One side of square ABCD is on the line y=2x-17 and other two vertices ...

    Text Solution

    |

  8. let |{:(1+x,x,x^(2)),(x,1+x,x^(2)),(x^(2),x,1+x):}|=(1)/(6)(x-alpha(1)...

    Text Solution

    |

  9. f:RrarrR be twice differentiable function satisfying f^(")(x)-5f^(')...

    Text Solution

    |

  10. Let O be an interior points of triangleABC such that vec(OA)+vec(OB)+3...

    Text Solution

    |

  11. The possible number of ordered triplets (m, n, p) where m,np in N is (...

    Text Solution

    |

  12. Let f (x) be a function defined by f(x)= int(1)^(x) t(t^(2)-3t +2) dt,...

    Text Solution

    |

  13. Given abclt0 and a+b+cgt0. If (|a|)/(a)+(|b|)/(b)+(|c|)/(c)=x, then fi...

    Text Solution

    |

  14. If (1+x+x^(2))^(3n+1)=a(0)+a(1)x+a(2)x^(2)+…a(6n+2)x^(6n+2), then find...

    Text Solution

    |

  15. Find number of values of complex numbers omega satisfying the system o...

    Text Solution

    |

  16. Let f(x) = max. {sinx , cosx , (1)/(2)} , then area of the region boun...

    Text Solution

    |

  17. if y=ae^(x)+be^(-3x)+c, then the value of ((d^(3)y)/(dx^(3))+2(d^(2)y)...

    Text Solution

    |

  18. If |[a^2+lambda^2,ab+clambda,ca-blambda],[ab-clambda,b^2+lambda^2,bc+a...

    Text Solution

    |

  19. In DeltaABC if (c+a)/(12)=(a+b)/(14)=(b+c)/(18), then find the value o...

    Text Solution

    |

  20. What is the value of 6t such that volume contained inside the planes s...

    Text Solution

    |