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Find the locus of a point which forms a triangle of area 21 square unit with the points (2,-7)and (-4,3).

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Find the locus of a point which moves so that the sum of the squares of its distances from the points (3,0) and (-3,0) is always equal to 50.

Find the locus of a point which moves such that the sum of the squares of its distance from the points A(1, 2, 3), B(2, -3, 5) and C(0, 7, 4) is 120.

Find the equation of the straight line which parallel with 3x+2y-6=0 and forms a triangle of area 21 square units with the straight lines x-2y=0 and y-2x=0.

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UNITED BOOK HOUSE-KALIDHAN INSTITUTION-EXERCISE
  1. If the term independetn of x in the expansion of (k/3x^2-3/(2x))^9be 2...

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  2. Find the sum :3.1^2+4.2^2+5.3^2+....upto n terms.

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  3. A straight line passes through the point (2,3) and is such that the po...

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  4. Find the image of the point (3,8) with respect to the line x + 3y = 7 ...

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  5. The sum of the distances of a moving point from the points (c,0)and (-...

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  6. If the sum of first n terms of a G.P is p and the sum of the first 2n ...

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  7. The roots of the equation x^2+3x+4=0are alphaand beta.Form the equati...

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  8. Foe any two events A and B prove that ,P(A)geP(AcapB)geP(A)+P(B)-1

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  9. Two fair dice are thrown simultaneously .The two scores are then multi...

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  10. Find the maximum and minimum values of 3sintheta+4costheta+5

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  11. Find the locus of a point which forms a triangle of area 21 square uni...

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  12. Show that sin16^@+cos16^@=1/sqrt2(sqrt3cos1^@+sin1^@)

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  13. Sin A=m sin B,show that ,tan((A-B)/2)=(m-1)/(m+1)tan((A+B)/2)

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  14. Exhibit graphically the solution sets of the following system of linea...

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  15. State the fundamental theorem of algebra.solve the following in the co...

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  16. How many 4 digit numbers can be formed form the digits,1,1,2,2,3,3,4,4...

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  17. Find the sum upto n terms:0.7+0.77+0.777+…

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  18. The co-ordinates of A,B,C are (6,3),(-3,5)and (4,-2) respectively and ...

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  19. The equations of two sides of a square are 5x+12y-10=0 and 5x+12y+29=0...

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  20. Find the equations of the lines passing thorugh the point (4,5)making ...

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