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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 analytically that the diagonals of a rectangle are equal

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The diagonals of a rectangle intersect each other at right angles. Prove that the rectangle is a square.

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.

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 sq units then find the sides of the rectangle

Given below are two pairs of statements. Combine these two statements using "if and only if". (i) p: If a rectangle is a square, then all its four sides are equal. q: If all the four sides of a rectangle are equal, then the rectangle is a square.

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RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. prove using vectors: The quadrilateral obtained by joining mid-poin...

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  2. Using analytical geometry, prove that the diagonals of a rhombus are ...

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

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  4. In A B C , A D is a median. Prove that A B^2+A C^2=2\ A D^2+2\ D C...

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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+...

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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 the 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 then | 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 ...

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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|=13 ,\ | vec b|=5\ a n d\ vec adot vec b=60 , t h e n find...

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