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If A(a,a),B(-a,-a) are two vertices of a...

If `A(a,a),B(-a,-a)` are two vertices of an equilateral triangle then its thrid vertex is

A

`((asqrt(3))/2,-(asqrt(3))/2)`

B

`(-asqrt(3),asqrt(3))`

C

`(asqrt(3),asqrt(3))`

D

`(-asqrt(3),-asqrt(3))`

Text Solution

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The correct Answer is:
B, C
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(1)(MULTIPLE CHOICE QUESTIONS)
  1. If a and b are real numbers between 0 and 1 such that the points (a,1)...

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

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

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

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

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

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

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

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  9. Let O(0, 0), P(3, 4), Q(6, 0) be the vertices of the triangle OPQ. The...

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  10. Let S1 , S2 , …. Be squares such that for each n ge 1 the length of a...

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  11. If the point P(x,y) be equidistant from the points A(a+b,b-a) and B(a-...

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  12. If the equation of the locus of a point equidistant from the points (a...

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  13. Vertices of a DeltaABC are A(2,2),B(-4,-4),C(5,-8). Then length of the...

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  14. If O be the origin and Q(1)(x(1),y(1)) and Q(2)(x(2),y(2)) be two poin...

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  15. The sides of a triangle are 3x + 4y, 4x + 3y and 5x+5y units, where x ...

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  16. The triangle OAB is right angled where points O,A,B are (0,0) (cos the...

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  17. The line joining the points A(bcos theta, b sin theta) and B(a cos phi...

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  18. The vertices of a triangle ABC has co -ordinates (cos theta, sin theta...

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  19. Locus of the centroid of a triangle whose vertices are (a cos t, a sin...

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  20. Triangle is formed by the co-ordinates (0,0),(0,21) and (21,0). Find t...

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