Home
Class 12
MATHS
Given a parallelogram ABCD. If |AB|=a, |...

Given a parallelogram ABCD. If `|AB|=a, |AD|=b, |AC|=c,` then `DB*AB` has the value

A

`(3a^(2) + b^(2)-c^(2))/2`

B

`(a^(2) + 3b^(2) -c^(2))/2`

C

`(a^(2) -b^(2) + 3c^(2))/2`

D

`(a^(2) + 3b^(2) + c^(2))/2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise LEVEL -2|47 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)|30 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

Given a parallelogram ABCD . If |vec(AB)|=a, |vec(AD)| = b & |vec(AC)| = c , then vec(DB) . vec(AB) has the value

In parallelogram ABCD above, AC=3 and AD=5. What is the area of ABCD?

ABCD is a parallelogram. If AB = 2AD and P is the mid-point of CD, prove that angleAPB = 90^(@)

The given figure shows a parallelogram ABCD. Squares ABPQ and ADRS are drawn on sides AB and AD of the parallelogram ABCD. Prove that : (i) angle SAQ = angle ABC (ii) SQ = AC

In the given figure, square ABCD is a parallelogram. If DM bot AC and BN bot AC, then show that squareBNDM is a parallelogram.

In parallelogram ABCD, AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram.

In a parallelogram ABCD, the bisector of angleA bisects the line B at point X. Prove that AD = 2AB.

In parallelogram ABCD, slope of AB = -2, slope of BC = 3/(5) . State the slope of AD

In parallelogram ABCD, slope of AB = -2, slope of BC = 3/(5) . State the slope of the altitude to AD

Constructed a parallelogram ABCD, when : AB=4.4cm, AD=6.2cm "and" AC=4.8cm .

VMC MODULES ENGLISH-VECTORS -LEVEL -1
  1. Let O be the centre of a regular pentagon ABCDE and vec(OA) = veca, th...

    Text Solution

    |

  2. A vector veca=(x,y,z) makes an obtuse angle with F-axis, and make equa...

    Text Solution

    |

  3. Given a parallelogram ABCD. If |AB|=a, |AD|=b, |AC|=c, then DB*AB has ...

    Text Solution

    |

  4. A, B C and D are four points in a plane with position vectors, veca, v...

    Text Solution

    |

  5. vecx and vecy are two mutually perpendicular unit vectors. If the vect...

    Text Solution

    |

  6. If non-zero vectors veca and vecb are perpendicular to each ot...

    Text Solution

    |

  7. The volume of the tetrahedron whose vertices are the points with posit...

    Text Solution

    |

  8. If veca = (hati + hatj +hatk), veca. vecb= 1 and vecaxxvecb = hatj -ha...

    Text Solution

    |

  9. ABC is isosceles triangle, right angled at A. The resultant of the for...

    Text Solution

    |

  10. If (atimesb)timesc=atimes(btimesc), where a, b and c are any three vac...

    Text Solution

    |

  11. Let veca, vecb and vecc be non-zero vectors such that no two are colli...

    Text Solution

    |

  12. If veca and vecb are mutually perpendicular unit vectors, vecris a vec...

    Text Solution

    |

  13. If V is the volume of the parallelepiped having three coterminous edge...

    Text Solution

    |

  14. Let G(1), G(2) and G(3) be the centroid of the triangular faces OBC, O...

    Text Solution

    |

  15. If hati, hatj, hatk are unit orthonormal vectors and veca is a vector,...

    Text Solution

    |

  16. The vector vec a has the components 2p and 1 w.r.t. a rectangular C...

    Text Solution

    |

  17. If the vectors veca=hati+ahatj+a^(2)hatk, vecb=hati+bhatj+b^(2)hatk, v...

    Text Solution

    |

  18. If veca =hati + hatj, vecb = hati - hatj + hatk and vecc is a unit vec...

    Text Solution

    |

  19. If the vectors veca and vecb are mutually perpendicular, then veca xx ...

    Text Solution

    |

  20. If veca is perpendicular to vecb and vecr is a non-zero vector such th...

    Text Solution

    |