Show that the point A(-4, 9, 6), B(-1,6,...

Show that the point `A(-4, 9, 6), B(-1,6,6), C(0,7,10) form a right angled isosceles triangle.

Answer

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Explore conceptually related problems

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

Show that the points (2, 3, 5), (-1, 5, -1) and (4, -3, 2) form a right angled isosceles triangle.

Knowledge Check

I : The points (2, -2), (-1, 2), (3, 5) are the vertices of a right angled isoceles triangle. II : The points (2, -4), (4, -2), (7, 1) form an isosceles triangle.

A

only I is true

B

only II is true

C

both I and II are true

D

neither I nor II are true

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Show that the lines x-7y-22=0, 3x+4y+9=0 and 7x+y-54=0 form a right angled isosceles triangle.

Show that the lines x-7y-22=0, 3x+4y+9=0 and 7x+y-54=0 form a right angled isosceles triangle.

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AAKASH SERIES-3D-COORDINATE SYSTEM-EXERCISE - 5 (SHORT ANSWER QUESTIONS)

Show that the point A(-4, 9, 6), B(-1,6,6), C(0,7,10) form a right ang...
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Show that the points (1, 2, 3), (2, 3, 1) and (3, 2, 1) form an equila...
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Show that ABCD is a square where A,B,C,D are the points (0,4,1),(2,3,-...
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Show that the points (5,-1,-1),(-1,5,-1)(-1,-1,5),(-3,-3,-3) are the v...
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Show that the points (-1,0,7),(3,2,1) and (5,3,-2) are collinear.
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Show that the points A=(1,2,3),B=(7,0,1), C=(-2,3,4) are colinear.
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S.T The points are collinear (ii) A(3,-2,4), B(1,1,1),C(-1,4,-2)
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Show that the points A(3,2,-4),B(5,4,-6) andC(9,8,-10) are collinear a...
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Show that the points O(0,0,0), A(2,-3,3) B(-2,3,-3) are collinear. Fin...
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For what value of t, the points (2,-1,3),(3,-5,t) and (-1,11,9) are co...
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A(5,4,6), B(1,-1,3),C(4,3,2) are three points. Find the coordinates of...
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A(3,2,0), B(5,3,2), C(-9,6,-3) are vertices of a triangle. bar(AD), th...
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Show that the point whose distance from Y-axis in thrice its distance ...
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P is a variable point which moves such that 3PA =2PB. If A(-2,2,3) and...
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The ends of the hypotenuse of a right angled triangle are (2,0,-3) ,(0...
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A,B,C are three points OX,OY,OZ respectively, at distance a,b,c from t...
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If A(4,8,12), B(2,4,6), C(3,5,4) and D(5,8,5) are four points, show t...
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Find the point of intersectoon of the lines vec(AB) and vec(CD) where ...
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The incentre of the triangle formed by (0,0,0),(3,0,0),(0,4,0) is
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If the point (1, 2, 3) is changed to the point (2, 3, 1) through trans...
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