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The roots of the equation 2x^(2)-6x+3=0 ...

The roots of the equation `2x^(2)-6x+3=0` are

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Let A(alpha, 1/(alpha)),B(beta,1/(beta)),C(gamma,1/(gamma)) be the vertices of a DeltaABC where alpha, beta are the roots of the equation x^(2)-6p_(1)x+2=0, beta, gamma are the roots of the equation x^(2)-6p_(2)x+3=0 and gamma, alpha are the roots of the equation x^(2)-6p_(3)x+6=0, p_(1),p_(2),p_(3) being positive. Then the coordinates of the cenroid of DeltaABC is

If a and p are the roots of the equation x^2-6x +5=0 , then find the equation having the roots 2a and 2p

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AGRAWAL PUBLICATION-SAMPLE PAPER 7-EXERCISE
  1. Two positive integers p and q are expressible as p=a^(3)b and q=ab^(2)...

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  2. Check whether -150 is a term of the A.P: 11,8,5,2…..

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  3. The roots of the equation 2x^(2)-6x+3=0 are

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  4. Find the solution of the pair of equations : 2x+3y=9 3x+4y=5.

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  5. Two vertices of a triangle are (4,-5) and (-5,-2). If the centroid of ...

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  6. What is mid - point of line segment AB, where A (-5,0) and B(0,5) ?

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  7. In the adjoining figure, if PA=10 cm, then find the perimeter of Delta...

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  8. If x sec 45^(@)=2, then what is the value of x.

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  9. If tan theta+cot theta=4, then find the value of tan^(4)theta+cot^(4)t...

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  10. Prove that : (sin i)/(1+cos i)=(1-cos i)/(sin i)

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  11. In an A.P., if a = 3.5, d = 0, n = 101, then find the value of a(n).

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  12. If A=900, Sigmaf(i)d(l)=-400 and Sigmaf(i=100, then what is the value ...

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  13. A 6 faced cube has letters A,B,C,D,A and C on its six faces. This cube...

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  14. A letter is chosen from letters of the word MAINTENANCE. What is the p...

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  15. If the equation x^(2)+4x+k=0 has real and distinct roots, then find th...

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  16. Examine if 1 and 2 are zeros of the polynomial p(x)=x^(3)-3x^(2)-x+3.

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  17. Which term of the A.P. -2,-7,-12, . . . will be -77 ?

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  18. What type of lines are represented by the pair of equations : 10x+6y...

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  19. If an event is sure to occur, then what is its probability of occurren...

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  20. The decimal expansion of the rational number (14587)/(1250) will termi...

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