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Prove that the line joining the mid-poin...

Prove that the line joining the mid-points of the diagonals of a trapezium is parallel to the parallel sides of trapezium and is half of their difference.

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Prove that the line segment joining the mid-points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides.

Prove that the line segment joining the mid-points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides.

Prove that the line joining the mid-points of the two sides of a triangle is parallel to the third side.

Prove that the segment joining the middle points of two non-parallel sides of a trapezium is parallel to the parallel sides and half of their sum.

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.

Prove that the line joining the mid-points of two parallel chords of a circle passes through the centre.

Prove that the line joining the mid-points of two parallel chords of a circle passes through the centre.

Prove that the line joining the mid-points of two parallel chords of a circle passes through the centre.

The line segment joining the mid-points of any two sides of a triangle in parallel to the third side and equal to half of it.

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Show that the vectors 2 vec a- vec b+3 vec c , vec a+ vec b-2 vec ca n...

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  2. Show that the points A ,B ,C with position vectors -2 vec a+3 vec b+5 ...

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  3. Prove that the line joining the mid-points of the diagonals of a trape...

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  4. Prove that the segment joining the middle points of two non-paralle...

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  5. Using vector method, prove that the line segments joining the mid-p...

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  6. If the points with position vectors 60 hat i+2 hat j , 40 hat i-8 hat ...

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  7. If A B C D is quadrilateral and Ea n dF are the mid-points of A Ca n d...

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  8. If D and E are the mid-points of sides AB and AC of a triangle A B C r...

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  9. If G is the centroid of a triangle A B C , prove that vec G A+ vec G ...

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  10. Prove using vectors: Medians of a triangle are concurrent.

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  11. Points L, M, N divide the sides BC, CA, AB of ABC in the ratio 1:4, 3:...

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  12. Prove using vectors: The diagonals of a quadrilateral bisect each o...

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  13. Show that the line segments joining the mid-points of opposite side...

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  14. Prove that the line segment joining the mid points of two side of a...

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  15. A vector vec r is inclined at equal to O X ,O Ya n dO Zdot If the mag...

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  16. A vector vec r has length 21 and its direction ratios are proport...

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  17. If vec a and vec b are non-collinear vectors and vectors vecalpha=(x...

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  18. A B C D is a parallelogram. E ,F are mid-points of B C ,C D respective...

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  19. If a\ a n d\ b ar non collinear vector such that x1 vec a+y1 vec b=x2 ...

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  20. Show that the vectors a, b, c given by vec a= hat i+2 hat j+3 hat k ,...

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