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sqrt(a^(2)x^(2)+2abx+b^(2)) = …………….....

`sqrt(a^(2)x^(2)+2abx+b^(2))` = ……………..

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Let f(x) = - (x)/(sqrt(a^(2) + x^(2)))- (d-x)/(sqrt(b^(2) + (d-x)^(2))), x in R , where a, b and d are non-zero real constants. Then,

Prove that the product of the lengths of the perpendiculars drawn from the points (sqrt(a^(2)-b^(2)), 0) and (-sqrt(a^(2)-b^(2)), 0) to the line (x)/(a)cos theta+(y)/(b)sin theta=1 is b^(2)

Two parallel lines lying in the same quadrant make intercepts a and b on x and y axes, respectively, between them. The distance between the lines is (a) (ab)/sqrt(a^2+b^2) (b) sqrt(a^2+b^2) (c) 1/sqrt(a^2+b^2) (d) 1/a^2+1/b^2

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PREMIERS PUBLISHERS-ALGEBRA-SOLUTION TO PROGRESS CHECK
  1. A system with …………………. Will provide absurd equation.

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  2. If r(x)=0 when f(x) is divided by g(x) then g(x) then g(x) is called …...

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  3. If f(x)=g(x) q(x)+r(x), …………… must be added to f(x) to make f(x) compl...

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  4. If f(x)=g(x) q(x)+r(x), ……………. Must be subtracted to f(x) to make f(x)...

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  5. Find the unknown expression in the following figures rectangle. Area...

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  6. Find the unknown expression in the following figures.

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  7. Write an expression that represents the perimeter of the figure and si...

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  8. Find the base of the given parallelogram whose perimeter is =(4x^(2)+1...

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  9. Is x^(2)+4x+4 a perfect square ?

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  10. What is the value of x in 3sqrt(x)=9?

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  11. The square root of 361x^(4)y^(2) is .

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  12. sqrt(a^(2)x^(2)+2abx+b^(2)) = ……………..

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  13. If a polynomial is a perfect square then its factors will be repeated ...

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  14. Find the element in second row and third column of the matrix [(1, -2,...

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  15. Find is the order of the matrix {:((sin theta),(cos theta),(tan theta)...

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  16. Determine the entries denoted by a(11),a(22),a(33),a(44) from the matr...

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  17. The number of column(s) in a column matrix are …………..

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  18. The number of row(s) in a row matrix are ………….

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  19. The no-diagonal elements is any unit matrix are .

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  20. Does there exist a square matrix with 32 elements ?

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