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Show that the points A(0,7,10), B(-1,6,...

Show that the points `A(0,7,10), B(-1,6,6) and C(-4,9,6)` from a right angled triangle.

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Show that the points (12, 8), (-2,6), and (6, 0) are vertices of a right-angled triangle.

Without using pythagoras theorem, show that the points A(-1,3) ,B(0,5) and C(3,1) are the vertices of a right angled triangle

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

Without using the Pythagoras theorem, show that the points (4,4), (3, 5) and (-1, -1) are the vertices of a right angled triangle.

Verify that the points ( 0,7,10 ) , ( -1,6,6) and ( -4,9, 6) are the vertices of an isosceles triangle

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

Prove that the points A(1,-3),B(-3,0)and C(4,1) are the vertices of a right isosceles triangle .

Show that the points A(5,-1,1) , B (7,-4,7) , C(1,-6,10) , D(-1,-3,4) from a rhombus.

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

OSWAAL PUBLICATION-SAMPLE PAPER 7-EXERCISE
  1. Evaluate underset (x rarr 1)lim(x^15-1)/(x^10-1).

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  2. Prove that : sin3x=3sinx-4sin^(3)x

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  3. Show that the points A(0,7,10), B(-1,6,6) and C(-4,9,6) from a right...

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  4. A box contains 10 red marbles,20 blue marbles and 30 green marbles.5 m...

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  5. A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5...

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  6. Find four numbers forming a geometric progression in which the third t...

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  7. Convert (1+7i)/(2-i)^2 in the polar form.

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  8. In a survey of 60 people, it was found that 25 people read newspaper H...

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  9. In a survey of 60 people, it was found that 25 people read newspaper H...

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  10. Verify by the method of contradiction that sqrt 5 is irrational.

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  11. Let R be a relation on the set Z of all integers defined by:(x,y) in R...

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  12. Let R be a relation on the set Z of all integers defined by:(x,y) in R...

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  13. Find the derivative of f(x)=(2x+3)/(x-2) from the first principle.

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  14. Let z(1) =2-I, z(2) =-2 + i, Find (i) (Re(z(1)z(2))/barz(1)), (ii) I...

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  15. Let z(1) =2-I, z(2) =-2 + i, Find (i) (Re(z(1)z(2))/barz(1)), (ii) I...

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  16. Find the value of n such that ""^(n)P(5)=42""^(n)P(3), n gt 4

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  17. If the sum of n terms of an A . P is 3n^(2)+5n and its m^(th) term is ...

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  18. For any real number of x and y,cos x = cos y,prove that x=2npi+-y whe...

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  19. Find the equation of the hyperbola where foci are (0,+-12) and the len...

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  20. Find the Middle terms in (2x^(2)-(1)/(sqrt(x)))^(11)

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