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Show that the points A(1,2,3),B(-1,-2,-1...

Show that the points A(1,2,3),B(-1,-2,-1),C(2,3,2) and D(4,7,6) are the vertices of a parallelogram.

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Show that (-1,2,1),(1,-2,5),(4,-7,8) and(2,-3,4) are the vertices of parallelogram.

Without using distance formula, show that points (-2,-1) , (4,0) ,(3,3) and (-3,2) are the vertices of a parallelogram.

Without using distance formula, show that points (-2, -1) , (4, 0) , (3, 3) " and " (-3, 2) are the vertices of a parallelogram.

Prove that the points A(0,-1),B(-2,3),C(6,7) and D(8,3) are the vertices of a rectangle ABCD .

Show that the points A(1,3,2),B(-2,0,1) and C(4,6,3) are collinear.

Show that the points A(7, 3), B(6, 1), C(8, 2) and D(9, 4) taken in that order are vertices of a parallelogram.

If the points A(6, 1), B(8, 2), C(9, 4) and D(p, 3) are the vertices of a parallelogram, taken inorder, find the value of p.

Show that the points A(1,2,7),B(2,6,3) and C(3,10,-10 are collinear.

Show that the points A(-1,4,-3), B(3,2,-5) C(- 3,8,-5) and D (-3,2,1) are coplanar

OSWAAL PUBLICATION-SAMPLE PAPER 5-EXERCISE
  1. Solve 3x+2y>6 graphically.

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  2. Find the distance between the parallel lines 3x-4y+7=0 and 3x-4y+5 ...

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  3. Show that the points A(1,2,3),B(-1,-2,-1),C(2,3,2) and D(4,7,6) are th...

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  4. In a group of 65 people, 40 like cricket, 10 like both cricket and ten...

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  5. Determine the domain and range of the relation R defined by R={(x,x+...

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  6. Prove that (cos x +cos y)^(2)+(sin x-sin y)^(2)=4 cos^(2) ((x+y)/(2))

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  7. Solve the equation x^2+3x+9=0.

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  8. Find real theta such that (3 + 2i sin theta)/(1-2i sin theta) is purel...

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  9. In a class of 60 students. 30 opted for NCC, 32 opted for NSS and 24 o...

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  10. In a class of 60 students. 30 opted for NCC, 32 opted for NSS and 24 o...

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  11. Find the coefficient of x^(6) y^(3) in the expansion of ( x+ 2y ) ^(...

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  12. Find the sum of the sequence 7,77,777,7777,…….n terms

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  13. If (a^(n)+b^n)/ (a^(n-1) +b^(n-1)) is the A.M. between a and b, then f...

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  14. Find the derivative of the function '-x' with respect to 'x' using fir...

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  15. Find the centre and radius of the circle x^(2) + y^(2) + 8x + 10y - 8 ...

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  16. How many words, with or without meaning can be made from the letters o...

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  17. How many words, with or without meaning can be made from the letters o...

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  18. How many words, with or without meaning can be made from the letters o...

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  19. Verify by the method of contradiction that sqrt(2) is irrational .

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  20. Find the probability that when a hand of 7 cards is drawn from a well ...

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