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Prove that the diagonals of a rectangle ...

Prove that the diagonals of a rectangle are perpendicular if and only if the rectangle is a square.

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Prove that the diagonals of a rectangle are equal.

Diagonals of a rectangle are perpendicular to each other.

The diagonals of a rectangle are of same length

Prove analytically that the diagonals of a rectangle are equal

The diagonals of a rectangle are of equal length.

Prove that the diagonals of a rectangle bisect each other and are equal.

The diagonals of a rectangle are equal and bisect each other

Which of the following statements are true for a rectangle? It has two pairs of equal sides. It has all its sides of equal length. Its diagonals are equal. Its diagonals bisect each other. Its diagonals are perpendicular. Its diagonals are perpendicular and bisect each other. Its diagonals are equal and bisect each other. Its diagonals are equal and perpendicular, and bisect each other. All rectangles are squares. All rhombuses are parallelograms. All squares are rhombuses and also rectangles. All squares are not parallelograms.

Which of the following statements are true and which are false? (a) The diagonals of a parallelogram are equal. (b) The diagonals of a rectangle are perpendicular to each other. ( c) The diagonals of a rhombus are equal.

The equation of the diagonals of a rectangle are y+8x-17=0 and y-8x+7=0. If the area of the rectangle is 8 squnits then find the sides of the rectangle

RD SHARMA-SCALAR OR DOT PRODUCT-Solved Examples And Exercises
  1. Prove using vectors: The quadrilateral obtained by joining mid poin...

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  2. Prove that the diagonals of a rhombus are perpendicular bisectors o...

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  3. Prove that the diagonals of a rectangle are perpendicular if and on...

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  4. If A D is the median of triangle A B C , using vectors, prove that A B...

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  5. If the median to the base of a triangle is perpendicular to the bas...

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  6. In a quadrilateral A B C D prove that A B^2+B C^2+C D^2+D A^2=A C^2+B ...

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  7. What is the angle between vectors vec a\ a n d\ vec b with magnitude...

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  8. If vec a\ a n d\ vec b are two vectors such that vec adot vec b=6,\...

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  9. Find he cosine of the angle between the vectors 4 hat i-3 hat j+3 hat ...

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  10. If the vectors 3 hat i+m hat j+ hat k\ a n d\ 2 hat i- hat j-8 hat k a...

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  11. If the vectors 3 hat i-2 hat j-4 hat k\ a n d\ 18 hat i-12 hat j-m hat...

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  12. If vec a\ a n d\ vec b are vectors of equal magnitude, write the val...

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  13. If vec a\ a n d\ vec b are two vectors such that ( vec a+ vec b)dot(...

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  14. For any two vectors vec a\ a n d\ vec b write when | vec a+ vec b|=|...

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  15. For any two vectors vec a\ a n d\ vec b write when | vec a+ vec b|=|...

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  16. If vec a\ a n d\ vec b are two vectors of the same magnitude incline...

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  17. If vec adot vec adot=0\ a n d\ vec adot vec b=0 what can you conclud...

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  18. If vec b is a unit vector such that ( vec a+ vec b)dot( vec a- vec b...

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  19. If hat a ,\ hat b are unit vector such that\ hat a+ hat b is a unit...

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  20. If | vec a|=2,\ | vec b|=5\ a n d\ vec adot vec b=2,\ find\ | vec a- ...

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