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Questions >> Olympiad-Math >> Class 10

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

1 answer

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

There are two classrooms A and B containing students. If 5 students are shifted from room A to room B, the resulting number of students in the two rooms are equals. If 5 students are shifted from room B to room A becomes double the number of students left in room B. Find the original number of student in the two rooms separately

asked Oct 14, 2014 by meena.p

1 answer

A and B each has some money. If A gives Rs. 30 to B, then B will have twice the money left with A. But if B gives Rs. 10 to A, then A will have twice as much as is left with B. Then A and B has ______

asked Oct 14, 2014 by meena.p

1 answer

A number consist of two digit whose sum is five. when the digits are reversed the number become greater by nine. Then the number is

asked Oct 14, 2014 by meena.p

1 answer

The sum of a two digit number and the number formed by interchanging its digits is 110. if 10 is subtracted from the first number, the new number is 4 more than 5 times the sum of the digits in the first number. find the first number.

asked Oct 14, 2014 by meena.p

1 answer

The sum of the digits of a two digit number is 8. and the difference between the number and that formed by reversing the digit is 18. Find the number .

asked Oct 14, 2014 by meena.p

1 answer

The sum of the two digits of a number is 8. If the sum of their squares is 40, then the number is

asked Oct 14, 2014 by meena.p

1 answer

The sum of two numbers is 8. If thus sum is four time their difference , then the numbers are _______

asked Oct 14, 2014 by meena.p

1 answer

The value of k so that the system of linear equation has no solution $(3k+1)x+3y-2=0; (k^2+1)x +(k-2)y-5=0$ is

asked Oct 13, 2014 by meena.p

1 answer

The value of C for the following system of equation has no solution . $cx +3y =3; 12x +cy=6$ is _________

asked Oct 13, 2014 by meena.p

1 answer

Number of values K can have for the following system of equation $4x+ 5y =3; kx+15y=9$

asked Oct 13, 2014 by meena.p

1 answer

The value of k for which the following system of equations has a unique solution is $4x- 5y =k;2x - 3y =12$

asked Oct 13, 2014 by meena.p

1 answer

For what value of k will the following system of equations have infinitely many solution? $2x + 3y=4;(k+2)x+6y=3k+2$

asked Oct 13, 2014 by meena.p

1 answer

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