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Maths-

General

Easy

Question

If $open parentheses b to the power of 2 end exponent minus 4 a c close parentheses to the power of 2 end exponent open parentheses 1 plus 4 a to the power of 2 end exponent close parentheses less than 64 a to the power of 2 end exponent comma a less than 0 comma$ then maximum value of quadratic expression $a x to the power of 2 end exponent plus b x plus c$ is always less than

0
2
-1
-2

The correct answer is: 0

Related Questions to study

Analyze the following graph of $f to the power of ´ end exponent left parenthesis x right parenthesis$ the which is incorrect about $f left parenthesis x right parenthesis text for end text alpha less than x less than beta$

Analyze the following graph of $f to the power of ´ end exponent left parenthesis x right parenthesis$ the which is incorrect about $f left parenthesis x right parenthesis text for end text alpha less than x less than beta$

If one root is square of other root of equation $x to the power of 2 end exponent plus p x plus q equals 0 comma q element of R$ then condition on

If one root is square of other root of equation $x to the power of 2 end exponent plus p x plus q equals 0 comma q element of R$ then condition on

Statement -1 : There exists only one real value of ‘k’ for which the real roots of the equation $k x to the power of 3 end exponent plus 3 x to the power of 2 end exponent minus 3 x plus 1 equals 0$ are in H.P. because
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.

Statement -1 : There exists only one real value of ‘k’ for which the real roots of the equation $k x to the power of 3 end exponent plus 3 x to the power of 2 end exponent minus 3 x plus 1 equals 0$ are in H.P. because
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

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.

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

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

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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An integer is selected at random from between 1 and 200, then probability that integer is divisible by 2, 3, 6, or 8 is

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A density bottle weighs 24 g when filled with water and 31 g when filled with a liquid of density $8 g divided by c. c$ Then the mass of the density bottle is

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Physics-General

In the above problem the density of liquid is

In the above problem the density of liquid is

Physics-General

parallel

A piece of wood of mass 150g has a volume of 200 cm³ Then the density of wood in C.G.S system is

A piece of wood of mass 150g has a volume of 200 cm³ Then the density of wood in C.G.S system is

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Which one of these is a derived physical quantity?

Which one of these is a derived physical quantity?

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Which of the following numbers is a perfect number?

Which of the following numbers is a perfect number?

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Which of the following is a perfect number?

Which of the following is a perfect number?

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Which of the following is even?

$c o s invisible function application e c to the power of 2 end exponent 60 to the power of ring operator end exponent s e c to the power of 2 end exponent invisible function application 30 to the power of ring operator end exponent c o s invisible function application 0 to the power of ring operator end exponent s i n invisible function application 45 to the power of ring operator end exponent c o t to the power of 2 end exponent invisible function application 60 to the power of ring operator end exponent t a n to the power of 2 end exponent invisible function application 60 to the power of ring operator end exponent equals$

$c o s invisible function application e c to the power of 2 end exponent 60 to the power of ring operator end exponent s e c to the power of 2 end exponent invisible function application 30 to the power of ring operator end exponent c o s invisible function application 0 to the power of ring operator end exponent s i n invisible function application 45 to the power of ring operator end exponent c o t to the power of 2 end exponent invisible function application 60 to the power of ring operator end exponent t a n to the power of 2 end exponent invisible function application 60 to the power of ring operator end exponent equals$

parallel

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