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mathematics quadratic equation mcq (2)

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 04 - QUADRATIC EQUATIONS Page 1 ( Answers at the end of all questions ) ( 1 ) The value of a for which th e sum of the sq uares of the ro ots of the eq uation x 2  - ( a - 2 ) x - a - 1 = 0 assume t he l east valu e is ( a ) 1 ( b ) 0 ( c ) 3 ( d ) 2 [ AIEEE 2005 ] ( 2 ) If the roots of the equation x 2  - b x + c = 0 be two consecutive integers, then b 2  - 4 c equals ( a ) - 2 ( b ) 3 ( c ) 2 ( d ) 1 [ AIEEE 2005 ] ( 3 ) If both the roots of the quadratic equation x 2  - 2kx + k + k - 5 = 0 are less t han 5, then k lies in the interval ( a ) ( 5, 6 ] ( b ) ( 6, ∞ ) ( c ) ( ∞ , 4 ) ( d ) [ 4, 5 ] [ AIEEE 2005 ] ( 4 ) Let two numbers hav e arithmetic mean 9 and geo metric mean 4. Then these numbers are the root s of the quad ratic e uati on ( a ) x 2  + 18x + 16 = 0 ( b ) x 2  - 18x + 16 = 0 ( c ) x 2  + 18x - 16 = 0 ( d ) x 2  - 18x - 16 = 0 [ AIEEE 2004 ] ( 5 ) If ( 1 - p ) is a oot of quadratic equation x 2  + px + ( 1 - p ) = 0, then the roots are ( a ) 0, 1 ( b ) - 1, 1 ( c ) 0, - 1 ( d ) - 1, 2 [ AIEEE 2004 ] ( 6 ) If one root of the equation x 2  + px + 12 = 0 is 4, while the equation x 2  + p x + 12 = 0 has equal roots, then th e value of q is ( a ) 4 49  ( b ) 12 ( c ) 3 ( d ) 4 [ AIEEE 2004 ] ( 7 ) The number of real so lutions of the eq uation x 2  - 3 l x l + 2 = 0 is ( a ) 2 ( b ) 4 ( c ) 1 ( d ) 3 [ AIEEE 2003 ]

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