Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Algebra

Easy

Question

If $x squared plus m x plus 1 equals 0$ and $left parenthesis b minus c right parenthesis x squared plus left parenthesis c minus a right parenthesis x plus left parenthesis a minus b right parenthesis equals 0$ have both the roots common, then

a, b, c are in H.P
a, b, c are in A.P.
m= -2
m= -1

The correct answers are: m= -2, a, b, c are in A.P.

Related Questions to study

The sum of all the real roots of the equation $left parenthesis 3 minus x right parenthesis to the power of 5 plus left parenthesis x minus 5 right parenthesis to the power of 5 equals negative 32$ is

The sum of all the real roots of the equation $left parenthesis 3 minus x right parenthesis to the power of 5 plus left parenthesis x minus 5 right parenthesis to the power of 5 equals negative 32$ is

MathematicsAlgebra

Four different integers form an increasing A.P. such that one of them is the square of the remaining numbers. Then the largest number is

Four different integers form an increasing A.P. such that one of them is the square of the remaining numbers. Then the largest number is

MathematicsAlgebra

Let $f left parenthesis x right parenthesis equals x squared plus b x plus c$ , where $b comma c element of R$ . If f(x) is a factor of both $x to the power of 4 plus 6 x squared plus 25$ and $3 x to the power of 4 plus 4 x squared plus 28 x plus 5$ then the least value of f(x) is

Let $f left parenthesis x right parenthesis equals x squared plus b x plus c$ , where $b comma c element of R$ . If f(x) is a factor of both $x to the power of 4 plus 6 x squared plus 25$ and $3 x to the power of 4 plus 4 x squared plus 28 x plus 5$ then the least value of f(x) is

MathematicsAlgebra

parallel

The value of expression $x to the power of 4 minus 8 x cubed plus 18 x squared minus 8 x plus 2$ when $x equals 2 plus square root of 3$

The value of expression $x to the power of 4 minus 8 x cubed plus 18 x squared minus 8 x plus 2$ when $x equals 2 plus square root of 3$

MathematicsAlgebra

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

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

MathematicsAlgebra

The total number of integral values of a so that $x squared minus left parenthesis a plus 1 right parenthesis x plus a minus 1 equals 0$ has integral roots is equal to

The total number of integral values of a so that $x squared minus left parenthesis a plus 1 right parenthesis x plus a minus 1 equals 0$ has integral roots is equal to

MathematicsAlgebra

parallel

The total number of values of a so that $x squared minus x minus a equals 0$ has integral roots, where $a element of N$ and $6 less or equal than a less or equal than 100$ , is equal to

The total number of values of a so that $x squared minus x minus a equals 0$ has integral roots, where $a element of N$ and $6 less or equal than a less or equal than 100$ , is equal to

MathematicsAlgebra

Consider the equation $x squared plus 2 x minus n equals 0$ , where $n element of N$ and $n element of left square bracket 5 comma 100 right square bracket$ . The total number of different values of n so that the given equation has integral roots is

Consider the equation $x squared plus 2 x minus n equals 0$ , where $n element of N$ and $n element of left square bracket 5 comma 100 right square bracket$ . The total number of different values of n so that the given equation has integral roots is

MathematicsAlgebra

The set of all possible real values of a such that the inequality $left parenthesis x minus left parenthesis a minus 1 right parenthesis right parenthesis open parentheses x minus open parentheses a squared plus 2 close parentheses close parentheses less than 0$ holds for all $x element of left parenthesis negative 1 comma 3 right parenthesis$ is

The set of all possible real values of a such that the inequality $left parenthesis x minus left parenthesis a minus 1 right parenthesis right parenthesis open parentheses x minus open parentheses a squared plus 2 close parentheses close parentheses less than 0$ holds for all $x element of left parenthesis negative 1 comma 3 right parenthesis$ is

MathematicsAlgebra

parallel

If the roots of the quadratic equation $open parentheses 4 p minus p squared minus 5 close parentheses x squared minus left parenthesis 2 p minus 1 right parenthesis x plus 3 p equals 0$ lie on either of unity, then the number of integral values of p is

If the roots of the quadratic equation $open parentheses 4 p minus p squared minus 5 close parentheses x squared minus left parenthesis 2 p minus 1 right parenthesis x plus 3 p equals 0$ lie on either of unity, then the number of integral values of p is

MathematicsAlgebra

If $alpha comma beta comma gamma comma delta$ are the roots of the equation $x to the power of 4 minus K x cubed plus K x squared plus L x plus M equals 0$ ,where K, L, M are real numbers, then the minimum value of $alpha squared plus beta squared plus gamma squared plus delta squared$ is

If $alpha comma beta comma gamma comma delta$ are the roots of the equation $x to the power of 4 minus K x cubed plus K x squared plus L x plus M equals 0$ ,where K, L, M are real numbers, then the minimum value of $alpha squared plus beta squared plus gamma squared plus delta squared$ is

MathematicsAlgebra

If $alpha comma beta comma gamma$ are the roots of $x cubed minus x squared minus 1 equals 0$ then the value $left parenthesis 1 plus alpha right parenthesis divided by left parenthesis 1 minus alpha right parenthesis plus left parenthesis 1 plus beta right parenthesis divided by left parenthesis 1 minus beta right parenthesis plus left parenthesis 1 plus gamma right parenthesis divided by left parenthesis 1 minus gamma right parenthesis$ is equal to

If $alpha comma beta comma gamma$ are the roots of $x cubed minus x squared minus 1 equals 0$ then the value $left parenthesis 1 plus alpha right parenthesis divided by left parenthesis 1 minus alpha right parenthesis plus left parenthesis 1 plus beta right parenthesis divided by left parenthesis 1 minus beta right parenthesis plus left parenthesis 1 plus gamma right parenthesis divided by left parenthesis 1 minus gamma right parenthesis$ is equal to

MathematicsAlgebra

parallel

If $1 over 1 squared plus 1 over 2 squared plus 1 over 3 squared plus horizontal ellipsis horizontal ellipsis. infinity equals pi squared over 6$ ,then $1 over 1 squared plus 1 over 2 squared plus 1 over 3 squared plus 1 over 5 squared horizontal ellipsis horizontal ellipsis$ equals

If $1 over 1 squared plus 1 over 2 squared plus 1 over 3 squared plus horizontal ellipsis horizontal ellipsis. infinity equals pi squared over 6$ ,then $1 over 1 squared plus 1 over 2 squared plus 1 over 3 squared plus 1 over 5 squared horizontal ellipsis horizontal ellipsis$ equals

MathematicsAlgebra

If $a subscript 1 comma a subscript 2 midline horizontal ellipsis midline horizontal ellipsis times a subscript n$ are in H.P. then $fraction numerator a subscript 1 over denominator a subscript 2 plus a subscript 3 plus horizontal ellipsis plus a subscript n end fraction comma fraction numerator a subscript 2 over denominator a subscript 2 plus a subscript 3 plus horizontal ellipsis plus a subscript n end fraction comma horizontal ellipsis..... fraction numerator a subscript n over denominator a subscript 1 plus a subscript 2 plus horizontal ellipsis plus a subscript n minus 1 end subscript end fraction$ are in

If $a subscript 1 comma a subscript 2 midline horizontal ellipsis midline horizontal ellipsis times a subscript n$ are in H.P. then $fraction numerator a subscript 1 over denominator a subscript 2 plus a subscript 3 plus horizontal ellipsis plus a subscript n end fraction comma fraction numerator a subscript 2 over denominator a subscript 2 plus a subscript 3 plus horizontal ellipsis plus a subscript n end fraction comma horizontal ellipsis..... fraction numerator a subscript n over denominator a subscript 1 plus a subscript 2 plus horizontal ellipsis plus a subscript n minus 1 end subscript end fraction$ are in

MathematicsAlgebra

If x, y, z real and $4 x squared plus 9 y squared plus 16 z squared minus 6 x y minus 12 y z minus 8 z x equals 0$ , then x, y, z are in

If x, y, z real and $4 x squared plus 9 y squared plus 16 z squared minus 6 x y minus 12 y z minus 8 z x equals 0$ , then x, y, z are in

MathematicsAlgebra

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.