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Maths-

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Easy

Question

The number of values of a for which $open parentheses a to the power of 2 end exponent minus 3 a plus 2 close parentheses x to the power of 2 end exponent plus open parentheses a to the power of 2 end exponent minus 5 a plus 6 close parentheses x plus a to the power of 2 end exponent minus 4 equals 0$ is an identity in x is

0
1
2
3

The correct answer is: 2

Related Questions to study

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parallel

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Statement - 2 : For a cubical equation $a x to the power of 3 end exponent plus b x to the power of 2 end exponent plus c x plus d equals 0 comma$ if b, c and d are non zero real and constant, then we can have only one real value of ‘a’ for which all real roots of $a x to the power of 3 end exponent plus b x to the power of 2 end exponent plus c x plus d equals 0$ are in H.P.

parallel

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Statement – 2: The medians of a triangle divide triangle into area wise two equal parts.

Consider a triangle ABC. BE and CF are the medians drawn through the angular points B and C respectively and G is the centroid of the $capital delta$ ABC.
Statement – 1: If the points, A, E, G, F are concyclic then $angle A$ must be acute. because
Statement – 2: The medians of a triangle divide triangle into area wise two equal parts.

Three numbers are chosen at random from the set {1,2,3,.....20} The probability that the minimum of these chosen numbers is 7 is

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Two real numbers x,y are chosen from the interval [0, 8] then the probability that $y to the power of 2 end exponent greater than 2 x$ iz

Two real numbers x,y are chosen from the interval [0, 8] then the probability that $y to the power of 2 end exponent greater than 2 x$ iz

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