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The triangle formed by the points A(2a,4...

The triangle formed by the points `A(2a,4a),B(2a,6a)` and `C(2a+sqrt(3)a,5a)` is

A

right angled

B

isosceles

C

equilateral

D

None

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(1)(MULTIPLE CHOICE QUESTIONS)
  1. The triangle formed by the points A(2a,4a),B(2a,6a) and C(2a+sqrt(3)a,...

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  2. The points A(12,8),B(-2,6) and C(6,0) are the vertices of

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  3. The points (1,1),(-1,-1) and (-sqrt(3),sqrt(3)) are the angular points...

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  4. If P(1,2),Q(4,6),R(5,7) and S(a,b) are the vertices of a parallelogram...

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  5. The extremities of the diagonal of a parallelogram are the points (3,-...

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  6. Mid points of the sides Ab and AC of a DeltaABC are (3,5) and (-3,-3) ...

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  7. The coordinates of the mid-points of the sides of a triangle are (4, 2...

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  8. If the vertex of a triangle is (1 , 1) and the midpoints of two sides ...

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  9. If a vertex of a triangle be (1,1) and the middle points of the two si...

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  10. The centroid of a triangle is (2,3) and two of its vertices are (5,6) ...

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  11. The co-ordinates of the third vertex of an equilateral triangle whose...

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  12. The vertices of a triangle ABC are (2,1), (5,2) and (3,4) respectively...

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  13. If a and b are real numbers between 0 and 1 such that the points (a,1)...

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  14. Perpendicular from the origin to the line joining the points (c cos al...

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  15. If A(a,a),B(-a,-a) are two vertices of an equilateral triangle then it...

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  16. The range of values of alpha in the interval (0,pi) such that the poin...

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  17. ABC is an isosceles triangle. If the coordinates of the base are B(1,3...

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  18. A point P on y-axis is equisdistant from the points A(-5,4) and B(3,-2...

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  19. If the vertices P,Q,R of a triangle PQR are rational points, which of ...

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  20. If alpha,beta, gamma are the real roots of the equation x^(3)-3ax^(2)+...

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