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If the two vertices of an equilateral tr...

If the two vertices of an equilateral triangle be `(0,0),(3,sqrt(3)),` find the third vertex.

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RD SHARMA ENGLISH-BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES-All Questions
  1. If the two vertices of an equilateral triangle be (0,0),(3,sqrt(3)), f...

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  2. Find the coordinates of the circumcentre of the triangle whose vertice...

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  3. Find the distance between the points : (at1^2, 2at1) and (at2^2 , 2at2...

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  4. Find the area of the quadrilateral A B C D whose vertices are re...

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  5. Prove that the points (a ,b+c),(b ,c+a)a n d(c ,a+b) are collinear.

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  6. Let the opposite angular points of a square be (3,4)a n d(1,-1) . Find...

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  7. Prove that the area of the triangle whose vertices are (t ,t-2),(t+2,t...

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  8. If the axes are shifted to the point (1,-2) without rotation, what do ...

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  9. Shift the origin to a suitable point so that the equation y^2+4y+8x-2=...

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  10. For what value of k are the points (k ,2-2k) (k+1,2k) and (-4-k ,6-2k...

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  11. If the coordinates of the mid-points of the sides of a triangle are (1...

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  12. STATEMENT-1 : Two bodies of mass M and 2M released from rest and they ...

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  13. Prove that the area of a triangle is invariant under the translation o...

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  14. Find the point to which the origin should be shifted so that the eq...

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  15. A B is a variable line sliding between the coordinate axes in such ...

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  16. A point moves so that the sum of its distances from (a e ,0)a n d(-a e...

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  17. A point moves so that the sum of its distances from (a e ,0)a n d(-a e...

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  18. Find the equation of the locus of a point which moves such that the ...

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  19. Find the equation to the locus of a point equidistant from the points ...

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  20. The sum of the squares of the distances of a moving point from two ...

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