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CHHAYA PUBLICATION-QUADRATIC EQUATIONS-EXERCISE 5A(Short answer type question)
- Find the condition so that the roots of the equation a/(x-a)+b/(x-b)=5...
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- Show that the roots of each of the following equations are rational(a,...
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- Show that the roots of each of the following equations are rational(a,...
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- Show that the roots of the equation (a^2-bc)x^2+2(b^2-ca)x+c^2-ab=0 ar...
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- If one root of the equation qx^2+px+q=0 (p,q are real) be imaginary, s...
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- If the roots of the equation qx^2+2px+2q=0 are real and unequal, prove...
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- If the roots of the equation x^2-2(a+b)x+a(a+2b+c)=0 be equal , prove ...
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- If the equation x^2+px+q=0andx^2+p'x+q'=0 have a common root , prove t...
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- Prove that if the equations x^2+px+r=0 and x^2+rx+p=0 have a common ro...
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- IF x is real and the expressions 3x^2-17x+20 is always positive, show ...
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- Find the limits of real value of x so that the expressions 5x^2+6x-8 i...
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- For any real positive value of x, show that 3-xcancelgt7/(x+2).
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- If x is real can the value of 3+2x-x^2 be greater than 4,
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- If x is real can that of x^2+3x+1 less than (-5/4)?
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- Show that if x is real and x^2+5lt6x , then x must lie between 1 and ...
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- If x is real, find the real values of p which make 4x^2+px+1 always p...
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- IF x is real, find the real values of m which make the expressions mx-...
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- If ((x-5)(x^2-2x+1))/((x-7)(x^2+2x+3)) is positive for all real values...
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- If the equation y^2+x^2-10x+21=0 is satisfied by real values of x and ...
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- If x is real , show that (x-2)(x-3)(x-4)(x-5)+2 is always positive.
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