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Recent questions tagged class10
Questions
If a polynomial $f(x)=4x^3+8x+8x^2+7$ is divided by $p(x)=2x^2-x+1$ then its remainder is
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
If the product of the zeroes of the polynomial $f(x)=ax^3-6x^2+11x-6$ is $4$ then $a=$
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
If $\alpha$ and $\beta$ are the zeroes of the polynomial $f(x)=6x^2+x-2$,then the value of $\large\frac{\alpha}{\beta}+\frac{\beta}{\alpha}$ is
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
If $1$ is $'a'$ zero of the polynomial $P(x)=ax^2-3(a-1)x-1$,then the value of $a$ is
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
The product of the zeroes of $x^3+4x^2+x-6$ is
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
If $x+2$ is a factor of $x^2+ax+2b$ and $a+b=4$,then
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
If the zeroes of the polynomial $f(x)=x^3-12x^2+39x-28$ is in A.P,then its zeroes are _____
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
Find the zeroes of the polynomial $f(x)=x^3-5x^2-2x+24$ if it is given that the product of its two zeroes is $12$.
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
If fourth degree of a polynomial is divided by a quadratic polynomial,then the degree of its remainder is _______
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
For what value of $k$ is $-4$ a zero of the polynomial $x^2-x-(2k+2)$?
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
If $f(x)=x^3+x^2-ax+b$ is divided by $x^2-x$ then the values of $a$ and $b$ are ______
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
The values of $a$ and $b$ if $f(x)=x^4+x^3+8x^2+ax+b$ is divided by $x^2+1$ is _____
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
If two zeroes of the polynomial $3x^4+6x^3-2x^2-10x-5$ are $\sqrt{\large\frac{5}{3}}$ and $-\sqrt{\large\frac{5}{3}}$ then its other zeroes are _____
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
If the polynomial $f(x)=3x^2-x^3-3x+5$ is divided by a polynomial $g(x)=x-1-x^2$ ,then its quotient is _____
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
If the zeroes of the polynomial $f(x)=x^3-12x^2+39x+k$ are in A.P then the value of $k$ is _____
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
If $\sqrt 5$ and $-\sqrt 5$ are the two zeroes of the polynomial $x^3+3x^2-5x-15$,then its third zero is ______
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
If two zeroes of the polynomial $f(x)=x^3+x^2-5x-5$ are $\sqrt 5$ and $-\sqrt 5$ then the third zero is ____
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
If the zeroes of the polynomial $f(x)=x^3-3px^2+qx-r$ are in A.P,then ______
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
If the product of two zeroes of the polynomial $f(x)=2x^3+6x^2-4x+9$ is $3$,then its third zero is ______
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
If $\alpha$ and $\beta$ are the roots of the equation $5y^2-7y+1=0$,then the value of $\big(\large\frac{1}{\alpha}+\frac{1}{\beta}\big)$ is _______
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
The value of $k$ for which the quadratic equation $9x^2+8kx+16=0$ has equal roots is _______
sat
quadratic-equations
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
If $\alpha$ and $\beta$ are the roots of the equation $x^2+4x+12=0$ such that $\alpha-\beta=1$,then the value of $k$ is _______
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
If the sum of the roots of the equation $x^2-x=k(2x-1)$ is zero,then the value of $k$ is ______
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
If $\alpha,\beta$ are the roots of the equation $4x^2-5x-1=0$,then the values of $\alpha^2\beta+\alpha\beta^2$ is _________
olympiad
math
ch-2
polynomials
class10
asked
Oct 20, 2014
by
sreemathi.v
1
answer
The factors for the quadratic equation $4x^2+4bx-(a^2-b^2)=0$ are ________
olympiad
math
ch-2
polynomials
class10
asked
Oct 18, 2014
by
sreemathi.v
1
answer
The factors for the quadratic equation $a^2x^2-3abx+2b^2=0$ are ______
olympiad
math
ch-2
polynomials
class10
asked
Oct 18, 2014
by
sreemathi.v
1
answer
The factors for the quadratic equation $\large\frac{4}{x}$$-3=\large\frac{5}{2x+3}$ are __________
olympiad
math
ch-2
polynomials
class10
asked
Oct 18, 2014
by
sreemathi.v
1
answer
The factors for the quadratic equation $\large\frac{1}{x-2}+\frac{2}{x-1}=\frac{6}{x}$ is ______
sat
olympiad
math
ch-2
polynomials
class10
asked
Oct 18, 2014
by
sreemathi.v
1
answer
The factors for the equation $\large\frac{x}{x+1}+\frac{x+1}{x}=\frac{34}{15}$ is ________
olympiad
math
ch-2
polynomials
class10
asked
Oct 18, 2014
by
sreemathi.v
1
answer
The value of $k$ such that the sum of the squares of the roots of the quadratic equation $x^2-8x+k=0$ is $40$ is _______
olympiad
math
ch-2
polynomials
class10
asked
Oct 18, 2014
by
sreemathi.v
1
answer
If $\alpha$ and $\beta$ are roots of the quadratic equation $kx^2+4x+4=0$ ,then the value of $k$ such that $\alpha^2+\beta^2=24$ is ______
olympiad
math
ch-2
polynomials
class10
asked
Oct 18, 2014
by
sreemathi.v
1
answer
If $\alpha$ and $\beta$ be the roots of the quadratic equation $x^2-5x+k=0$,then the value of $k$,such that $\alpha-\beta=1$ is _________
olympiad
math
ch-2
polynomials
class10
asked
Oct 18, 2014
by
sreemathi.v
1
answer
If $\alpha$ and $\beta$ are the roots of the equation $x^2-3x+k=0$ such that $\alpha=2\beta$,then the value of $k$ is ________
olympiad
math
ch-2
polynomials
class10
asked
Oct 18, 2014
by
sreemathi.v
1
answer
If one root of the quadratic equation $ax^2+bx+c=0$ is double the other ,then $2b^2=$________
olympiad
math
ch-2
polynomials
class10
asked
Oct 18, 2014
by
sreemathi.v
1
answer
If one root of the equation $4x^2+5x+\lambda=0$ be the reciprocal of another root,then the value of $\lambda$ is ______
olympiad
math
ch-2
polynomials
class10
asked
Oct 17, 2014
by
sreemathi.v
1
answer
The value of $k$ so that the equation $x^2-(k+6)x+2(2k-1)=0$ has sum of the roots as half of their product is _________
olympiad
math
ch-2
polynomials
class10
asked
Oct 17, 2014
by
sreemathi.v
1
answer
One root of the equation $2x^2-8x-m=0$ is $\large\frac{5}{2}$,then the other root and the value of $m$ is _______
olympiad
math
ch-2
polynomials
class10
asked
Oct 17, 2014
by
sreemathi.v
1
answer
If the sum of the roots of the quadratic equation $3x^2+(2k+1)x-(k+5)=0$ is equal to the product of the roots, then the value of $k$ is ________
sat
quadratic-equations
olympiad
math
ch-2
polynomials
class10
asked
Oct 17, 2014
by
sreemathi.v
1
answer
A quadratic equation one of whose roots is $\sqrt 5$ and the product of whose roots is $-2\sqrt 5$ is ________
olympiad
math
ch-2
polynomials
class10
asked
Oct 17, 2014
by
sreemathi.v
1
answer
The roots of the polynomial $x^2-(\sqrt 2+1)x+\sqrt 2=0$ is ___________
olympiad
math
ch-2
polynomials
class10
asked
Oct 17, 2014
by
sreemathi.v
1
answer
The roots of the polynomial $\large\frac{x-a}{x-b}+\frac{x-b}{x-a}=\frac{a}{b}+\frac{b}{a}$ is _________
olympiad
math
ch-2
polynomials
class10
asked
Oct 17, 2014
by
sreemathi.v
1
answer
The roots of the polynomial $x^2+2ab=(2a+b)x$ is ______
olympiad
math
ch-2
polynomials
class10
asked
Oct 17, 2014
by
sreemathi.v
1
answer
The zeroes of the polynomial $x^2+x-(a+1)(a+2)=0$ is ____________
olympiad
math
ch-2
polynomials
class10
asked
Oct 17, 2014
by
sreemathi.v
1
answer
The zeroes for $x=\large\frac{1}{2-\Large\frac{1}{2-\Large\frac{1}{(2-x)}}},$$x\neq 2$ is ____________
olympiad
math
ch-2
polynomials
class10
asked
Oct 17, 2014
by
sreemathi.v
1
answer
If one root of the equation $2x^2+kx-6=0$ is $2$,then the other root is ____________
olympiad
math
ch-2
polynomials
class10
asked
Oct 17, 2014
by
sreemathi.v
1
answer
If $x=\large\frac{2}{3}$ and $x=-3$ are the roots of the equation $ax^2+7x+6=0$,then the values of $a$ and $b$ are ________
olympiad
math
ch-2
polynomials
class10
asked
Oct 17, 2014
by
sreemathi.v
1
answer
If one root of the equation $2x^2+kx-6=0$ is $2$,then the value of $k$ is ____________
olympiad
math
ch-2
polynomials
class10
asked
Oct 17, 2014
by
sreemathi.v
1
answer
If $x=2$ and $x=3$ are the roots of the equation $3x^2-2kx+2m$,then the values of $k$ and $m$ is ____________
olympiad
math
ch-2
polynomials
class10
asked
Oct 17, 2014
by
sreemathi.v
1
answer
If $x=-a$ is the root of the solution $x^2+2ax-k=0$ then the value of $k$ is ________
olympiad
math
ch-2
polynomials
class10
asked
Oct 17, 2014
by
sreemathi.v
1
answer
The graph of $y=-4$ is parallel to
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes‏
class10
asked
Oct 14, 2014
by
meena.p
1
answer
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