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Show that the points (7,10), (-2, 5) and...

Show that the points (7,10), (-2, 5) and (3,-4) are the vertices of an isosceles right triangle

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Without using the Pythagoras theorem, show that the points (4, 4), (3, 5) and (-1, -1) 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.

Show that the points (3, 4), (8, -6) and (13, 9) are the 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 (1,7), (4,2), (-1, -1) and (-4 4) are the vertices of a square.

Check whether (5, -2), (6, 4) and (7, -2) are the vertices of an isosceles triangle.

Show that the points (1, 7), (4, 2), (-1, -1) and (-4, 4) are the vertices of a square .

Check whether (5,-2), (6,4) and (7,-2) are the vertices of an isosceles triangle.

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

If the points A(-2, k), B(3,-4) and C(7,10) are the vertices of a right angled isosceles triangle right angled at A, find the value of k and the area of Delta ABC .

KUMAR PRAKASHAN-COORDINATE GEOMETRY-Test Your Skills
  1. Show that the point A(a,a), B(-a,-a) and C(-sqrt(3)a, sqrt(3) a) are ...

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  2. Show that A(-1,0), B(3,1), C(2,2) and D(-2,1) are the vertices of a pa...

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  3. Show that the points (7,10), (-2, 5) and (3,-4) are the vertices of an...

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  4. Prove that the points A(0,1), B(1,4), C(4,3) and D(3,0) are the vertic...

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  5. A(1,7), B(2,4) and C(k,5) are the vertices of a right triangle . Find ...

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  6. Find the ratio in which the point (-3, p) divides the line segment joi...

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  7. If A(5,-1), B(-3,-2) and C(-1, 8) are the vertices of Delta ABC , find...

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  8. If the midpoint of the line segment joining A((x)/(2),(y + 1)/(2)) and...

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  9. Find the third vertex of a triangle , if two of its vertices are at (-...

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  10. If P(9a-2, -b) divides the join of A(3a+1, -3) and B(8a, 5) in the ...

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  11. If the midpoint of the line segment joining (3,4) and (k,7) is (x,y) a...

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  12. If the point C(-1, 2) divides internally the line segment joining the...

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  13. The points A(x(1), y(1)) , B(x(2), y(2)) and C(x(3), y(3)) are the ver...

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  14. The line segment joining the points P(3,3) and Q(6,-6) is trisected by...

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  15. Points P, Q, R and S divide the line segment joining the points A(1,2...

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  16. Find the value of k if the points A(6,10), B(7,k) and C(8,-10) are col...

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  17. The vertices of a triangle are (1,-3), (4,k) and (-9,7) . If its are...

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  18. Find the area of quadrilateral ABCD with vertices A(-4, -2), B(-3, -5)...

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  19. Find the area of the triangle formed by the midpoint of the sides of t...

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  20. If R(x,y) is a point on the line segment joining points P(a,b) and Q(...

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