Home
Class 12
MATHS
Let area of faces triangleOAB=lambda1, t...

Let area of faces `triangleOAB=lambda_1, triangleOAC=lambda_2, triangleOBC=lambda_3, triangleABC=lambda_4 and h_1, h_2, h_3, h_4` be perpendicular height from 0 to face `triangleABC`, A to the face`triangleOBC`, B to the face ` triangleOAC`, C to the face `triangleOAB`, then the face `(1)/(3)lambda_1h_4*(1)/(3)lambda_2h_3+(1)/(3)lambda_3h_2+(1)/(3)lambda_4h_1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|36 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

If y=mx+c be a tangent to the hyperbola (x^(2))/(lambda^(2))-(y^(2))/((lambda^(3)+lambda^(2)+lambda)^(2))=1,(lambda!=0), then

If the points A(lambda, 2lambda), B(3lambda,3lambda) and C(3,1) are collinear, then lambda=

If A satisfies the equation x^3-5x^2+4x+lambda=0 , then A^(-1) exists if lambda!=1 (b) lambda!=2 (c) lambda!=-1 (d) lambda!=0

If tan 82(1)/(2^(@))=sqrt(lambda_(1))+sqrt(lambda_(2))+sqrt(lambda_(3))+2 then lambda_(1)+lambda_(2)+lambda_(3) is equal to

If lambda_1, lambda_2 and lambda_3 are the wavelength of the waves giving resonance to the fundamental, first and second overtone modes respectively in a string fixed at both ends. The ratio of the wavelengths lambda_1:lambda_2:lambda_3 is

If lambda_1, lambda_2, lambda_3 are wavelengths of first 3 lines of balmer series. Find lambda_1/lambda_3

The point (lambda+1,1),(2 lambda+1,3) and (2 lambda+2,2 lambda) are collinear,then the value of lambda can be

Find value of lambda if two lines having direction ratios 1, -2, 3 and 2- lambda , 1+ lambda, - lambda, are perpendicular to each other

If lambda_(1), lambda_(2), lambda_(3) are the wavelengths of the waves giving resonance in the fundamental, first and second overtone modes respecively in a open organ pipe, then the ratio of the wavelengths lambda_(1) : lambda_(2) : lambda_(3) , is :

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
  1. In triangle ABC the mid point of the sides AB, BC and AC respectively ...

    Text Solution

    |

  2. The angle between the lines whose directionn cosines are given by 2l-m...

    Text Solution

    |

  3. A line makes an angle theta both with x-axis and y-axis. A possible ra...

    Text Solution

    |

  4. Let veca, vecb and vecc be the three vectors having magnitudes, 1,5 an...

    Text Solution

    |

  5. Find the perpendicular distance of a corner of a unit cube from a dia...

    Text Solution

    |

  6. If p,q are two-collinear vectors such that (b-c)ptimesq+(c-a)p+(a-b)q...

    Text Solution

    |

  7. Let a=hat(i)+hat(j)+hat(k), b=-hat(i)+hat(j)+hat(k), c=hat(i)-hat(j)+h...

    Text Solution

    |

  8. A parallelepiped is formed by planes drawn parallel to coordinate axes...

    Text Solution

    |

  9. Let bar a,bar b,bar c be three non-coplanar vectors and bar d be a no...

    Text Solution

    |

  10. If alpha(atimesb)+beta(btimesc)+gamma(ctimesa)=0, then

    Text Solution

    |

  11. Let area of faces triangleOAB=lambda1, triangleOAC=lambda2, triangleOB...

    Text Solution

    |

  12. Given four non zero vectors bar a,bar b,bar c and bar d. The vectors ...

    Text Solution

    |

  13. The shortest distance between a diagonal of a unit cube and the edge s...

    Text Solution

    |

  14. Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

    Text Solution

    |

  15. The length of the edge of the regular tetradedron ABCD is 'a'. Points ...

    Text Solution

    |

  16. If the two adjacent sides of two rectangles are represented by vect...

    Text Solution

    |

  17. Let veca,vec b,vec c are three vectors along the adjacent edges ofa t...

    Text Solution

    |

  18. The angle theta between two non-zero vectors a and b satisfies the rel...

    Text Solution

    |

  19. If the angle between the vectors vec(a)=hat(i)+(cos x)hat(j)+hat(k) a...

    Text Solution

    |

  20. If position vectors of the points A, B and C are a, b and c respectiv...

    Text Solution

    |