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

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

A

a right angled isosceles triangle

B

equilateral triangle

C

an isosceles triangle

D

an obtuse angled triangle

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -EXERCISE (LEVEL 1 (SINGLE CORRECT ANSWER TYPE QUESTIONS))
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  2. P(1,1,1) and Q(lamda,lamda,lamda) are two points in space such that PQ...

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  3. Show that the points (0,7,10), (-1,6,6) and(-4,9,6) are the vertices o...

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  4. If alpha, beta, gamma are the angles which a line makes with the coord...

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  5. If a line makes angles alpha,beta,gamma with the positive direction of...

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  6. Find the vector equation of the line through A(3,4,-7)a n dB(1,-1,6)do...

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  7. The lines (x-1)/3=(y-1)/(-1)=(z+1)/0 and (x-4)/2=(y+0)/0=(z+1)/3 (A) i...

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  8. The sine of the angle between the lines r=2i+2j-k+(i+j+k)t and the pla...

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  9. Equation of a plane passing through (1, 1, 1) and containing x-axis is

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  10. The co-ordinates of the foot of the perpendicular from the point (3,-1...

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  11. The length of the line segment whose projection on the coordinate axes...

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  12. The number of lines which are equally inclined to the axes is :

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  13. Find the equation of a line which passes through a given point of posi...

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  14. If the line r=(i+j-k)+lambda(3i-j)andr=(4i-k)+mu(2i+3k) intersect at t...

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  15. Line of intersection of the two planes barr.(3i - j + k)=1 and barr.(i...

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  16. The plane x-2y+7z+21=0 (A) contains the line (x+1)/(-3)=(y-3)/2=(z+2)/...

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  17. A line passes through two points A(2,-3,-1) and B(8,-1,2). The coordin...

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  18. The plane x/a+y/b+z/c=1 meets the coordinaste axces in points A,B,C re...

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  19. The lines r=a+lambda(bxxc)andr=b+mu(cxxa) will intersect if

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  20. The shortest distance between the lines r=(4i-j)+lambda(i+2j-3k) and...

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