Recent questions tagged olympiad

The product of the zeroes of $x^3+4x^2+x-6$ is

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

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 _____

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 $12$.

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 _______

asked Oct 20, 2014 by sreemathi.v

1 answer

For what value of $k$ is $-4$ a zero of the polynomial $x^2-x-(2k+2)$?

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 ______

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 _____

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 _____

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 _____

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 _____

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 ______

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 ____

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 ______

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 ______

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 _______

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 _______

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 _______

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 ______

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 _________

asked Oct 20, 2014 by sreemathi.v

1 answer

The factors for the quadratic equation $4x^2+4bx-(a^2-b^2)=0$ are ________

asked Oct 18, 2014 by sreemathi.v

1 answer

The factors for the quadratic equation $a^2x^2-3abx+2b^2=0$ are ______

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 __________

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 ______

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 ________

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 _______

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 ______

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 _________

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 ________

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 $2b^2=$________

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 ______

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 _________

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 _______

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 ________

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 ________

asked Oct 17, 2014 by sreemathi.v

1 answer

The roots of the polynomial $x^2-(\sqrt 2+1)x+\sqrt 2=0$ is ___________

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 _________

asked Oct 17, 2014 by sreemathi.v

1 answer

The roots of the polynomial $x^2+2ab=(2a+b)x$ is ______

asked Oct 17, 2014 by sreemathi.v

1 answer

The zeroes of the polynomial $x^2+x-(a+1)(a+2)=0$ is ____________

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 ____________

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 ____________

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 ________

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 ____________

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 ____________

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 ________

asked Oct 17, 2014 by sreemathi.v

1 answer

The graph of $y=-4$ is parallel to

asked Oct 14, 2014 by meena.p

1 answer

The graph of $x=-1$ is parallel to

asked Oct 14, 2014 by meena.p

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In a bag containing only white and black balls, half the no of white balls is equal to one third of the no. of black balls. twice the total no. of balls exceeds there times the no. of black balls by 4. Hence the no. of balls of each type the bag contains is _______

asked Oct 14, 2014 by meena.p

1 answer

There are two class rooms A and B. If 10 students are sent from A to B , the no. of students in each room is the same. If 20 candidate are sent from B to A , the no of students in A is double the no. of students in B. then the no. of students in each room is ________

asked Oct 14, 2014 by meena.p

1 answer

Sangeetha has towels and handkerchiefs which are 40 together in number . If she had 5 more handkerchiefs and 5 less towels, the number of handkerchiefs becomes four times the number of towels . Find the original number of each .

asked Oct 14, 2014 by meena.p

1 answer

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