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RESONANCE-EQUATIONS -EXERCISE-1 (PART -1: PRE RMO)
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- If two roots of x ^(3) -ax ^(2) + bx -c =0 are equal in magnitude but ...
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- If alpha,beta,gamma are the roots of the equation x^3+p x^2+q x+r=0, t...
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- If the inequality (m-2)x^(2)+8x+m+4gt0 is satisfied for all x epsilon ...
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- The real values of a for which the quadratic equation 2x^2-(a^(3)+8a-1...
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- If a, p are the roots of the quadratic equation x^2 - 2p (x - 4) - 15 ...
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- If alpha, beta are the roots of the quadratic equation x ^(2)+ px+q=0...
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- Each root of the equation ax^2 + bx + c = 0 is decreased by 1. The qua...
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- x,y,z are distinct real numbers such that x+1/y = y + 1/z =z + 1/x Th...
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- A hare sees a hound 100 m away from her and runs off in the opposite d...
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- a and b are positive integers that a^(2) + 2b = b^(2) + 2a +5. The val...
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- a ne 0, b ne 0. The number of real number pair (a, b) which satisfy t...
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- The value of root(3)(5+2sqrt(13)) + root(3)(5-2sqrt(13)) is= ……………..
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- If a, b, c, d satisfy the equation a + 7b + 3c + 5d = 0, 8a + 4b + 6c ...
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- The combined age of a man and his wife is six times the combined ages ...
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- If (x+1)^(2) =x, the value of 11x^(3) + 8x^(2) + 8x -2 is:
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- If one root of sqrt(a-x) + sqrt(b+x) = sqrt(a) + sqrt(b) is 2012, th...
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- a and b are the roots of the quadratic equation x^2 + lambdax - 1/(2la...
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- The remainder obtained when the polynomial x+x^(3)+x^(9)+x^(27)+x^(81)...
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- If x, y are positive real numbers satisfying the system of equations x...
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