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

Show that the points (0. 7, 10), (-1, 6, 6) and (-4, 9, 6) form a right angled isoscles. triangle.

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Show that the points (0,7,10), (-1,6,6) and (-4,9,6) are the vertices of a right angled isosceles triangle.

Show that the points (3,0),(6,4) and (-1,3) are the vertices of a right angled isosceles triangle.

Prove that the points (7,9) , (3,-7) and (-3,3) form a right angled isoseles triangle .

Number of values of alpha such that the points (alpha,6),(-5,0) and (5,0) form an isosceles triangle is

Show that the points (6,6) , (2,3) and (4,7) are the vertices of a right angled triangle

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

Prove that successive joining of the points (7,9) (3,-7) and (-3,3) produce a right - angled isosceles triangle .

Show that the points A=(2,-1,1),B=(1,-3,-5) and C=(3,-4,-4) are vertices of a right angled triangle (using vector method).

Prove that the triangle formed by joining the points ( 1 , - 3, 1) , (0 , 1 , 2) , ( 2 , - 1, 3) is a right angled triangle.

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

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 10-EXERCISE
  1. Prove that ((i-sqrt3)/(i+sqrt3))^200+((i+sqrt3)/(-i+sqrt3))^200= -1

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  2. If the sum of 1st n tenn of a GP is Sn=1 and S(2n)=4,show that S(3n):S...

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  3. In the expansion of (x+P)^n,the 6th ,7th,8th and 9th terms are a,b,c a...

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  4. Show that the straight lines x/a+y/b=1/c, x/b+y/c=1/a and x/c+y/a=1/b ...

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  5. The co-ordinates of the end points of a diagonal of a rectangle are (...

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  6. Find the equation of a circle which is passes through the point (4,3) ...

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  7. Show that the points (0. 7, 10), (-1, 6, 6) and (-4, 9, 6) form a righ...

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  8. Differentiate (from 1st principle) sinx/xwith respect to x

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  9. Prove that the statement , “If all the angles of a triangle are equal,...

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  10. Prove that sqrt2 irrational, (use the method of contradiction).

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  11. Two unbiased dice are thrown. Find the probability that the upper fac...

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  12. If x costheta=y cos (theta+(2pi)/3)=z cos(theta+(4pi)/3)show that xy +...

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  13. if tan (theta/2)=sqrt((1-e)/(1+e))tan (varphi/2),then prove that cos v...

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  14. If x=-1+i sqrt2 and the value of x^(4)+4x^(3)+6x^(2)+4x+9.

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  15. If p, q. r in G.P and1/(p-a),1/(r-p),1/(q-r) are in AP.show that p+4q+...

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  16. Solve graphically and find the common solution region of the system of...

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  17. If the vertices of an equilateral traingle be represented by the compl...

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  18. If the pointP(at^2,2at) is a end point of a chord of the parabolay^2=...

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  19. Prove that the locus of the point of iter section of the linessqrt3x-y...

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  20. Find the locus of the midpoints of the all chords drawn from the ends ...

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