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If one diagonal of a quadrilateral bisec...

If one diagonal of a quadrilateral bisects the other, then it also bisects the quadrilateral.

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To prove that if one diagonal of a quadrilateral bisects the other, then it also bisects the quadrilateral, we can follow these steps: ### Step 1: Define the Quadrilateral Let the quadrilateral be defined as \(ABCD\) with diagonals \(AC\) and \(BD\) intersecting at point \(O\). According to the problem, diagonal \(AC\) bisects diagonal \(BD\), which means: \[ AO = CO \quad \text{and} \quad BO = DO \] ...
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ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (Subjective Type Questions)
  1. For any two vectors -> aand -> bwe always have | -> adot -> b|lt=| ...

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  2. P and Q are two points on the curve y = 2^(x+2) in the rectangular car...

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  3. O is the origin and A is a fixed point on the circle of radius 'a' wit...

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  4. If a is real constant A ,Ba n dC are variable angles and sqrt(a^2-4)ta...

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  5. Given , the edges A, B and C of triangle ABC. Find cosangleBAM, where ...

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  6. Distance of point A (1, 4, -2) is the distance from BC, where B and C ...

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  7. Given, the angles A, B and C of triangleABC. Let M be the mid-point of...

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  8. In triangle A B C , a point P is taken on A B such that A P//B P=1//3...

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  9. If one diagonal of a quadrilateral bisects the other, then it also bis...

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  10. Two forces F(1)={2, 3} and F(2)={4, 1} are specified relative to a gen...

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  11. A non zero vector veca is parallel to the line of intersection of the ...

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  12. Vector vec O A= hat i+2 hat j+2 hat k turns through a right angle ...

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  13. Let vec ua n d vec v be unit vectors such that vec uxx vec v+ vec u=...

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  14. A, B and C are three vectors given by 2hat(i)+hat(k), hat(i)+hat(j)+ha...

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  15. If x*a=0, x*b=1, [x a b]=1 and a*b ne 0, then find x in terms of a and...

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  16. Let p, q, r be three mutually perpendicular vectors of the same magnit...

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  17. Given vectors barCB=bara, barCA=barb and barCO=barx where O is the cen...

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