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Recent questions tagged quadratic-equations
ASK
The difference between the two sides of a right angled triangle is $2$ cm and the length of its hypotenuse is $10$ cm.The measurement of the two sides are ________
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
A segment $AB$ of 2 m length is divided internally by $C$ into two parts such that $AC^2=AB\times AC$.The length of the part $CB$ is _____
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
The area of a triangle is $18\;cm^2$ and the sum of its base and altitude is $12$ cm.The measurements of the base and altitude is _____
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
The longest rod that can be placed flat on the bottom of a box is $45$ cm.The box is $9$ cm longer than its width.The dimensions of the bottom of the box are ______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
The sum of first $n$ natural numbers is given by the relation $S=\large\frac{n(n+1)}{2}$.If their sum is $276$,then the value of $n$ is _______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
If we divide $12$ into two parts such that the sum of their squares is $74$,then the two parts are _____
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
The sum of the squares of two consecutive odd numbers is $202$,then the numbers are ______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
The sum of two natural numbers is $8$.If the sum of the reciprocals is $\large\frac{8}{15}$,then the numbers are _________
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
One side of a rectangle exceeds its other side by $2$ cm.If its area is $195$ $cm^2$,then the sides of the rectangle is ______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
The sum of the squares of two consecutive positive integers is $545$.Then the integers are
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
The dimensions of a room whose length is $3$ m more than its breadth,if the area of the room is $70$ sq.m.The quadratic equation to find the dimensions of the room is _____
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
The hypotenuse of a right angled triangle is $6$ meters more than twice of the shortest side.The third side is two meters less than the hypotenuse.The quadratic equation to find the sides is ______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
Two consecutive positive even integers,the sum of whose squares is $340$.The quadratic equation to find the integers,is ______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
The product of two consecutive positive integers is $306$.The quadratic equation to find the integers,if $x$ is the smallest integer is _____
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
The product of two consecutive positive integers is $240$.The quadratic equation whose roots of these integers is _____
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
If $x=2$ and $x=3$ lie the roots of the equation $3x^2-2px+2q=0$,then the value of $p$ and $q$ are ______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
Say True or False : $3$ is a root of the equation $\sqrt{x^2-4x+3}+\sqrt{x^2-9}=\sqrt{4x^2-14x+16}$
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
If $x=\large\frac{2}{3}$ and $x=-3$ are the roots of the equation $ax^2+7x+b=0$,then the values of $a$ and $b$ are _______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
If one root of the quadratic equation $2x^2+kx-6=0$ is $2$,then the value of $k$ is _____
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
The value of $'k'$ for the equation $x^2+2ax-k=0$ if $x=-a$ is a solution of the equation is _______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
The factors for $x=\large\frac{1}{2-\Large\frac{1}{2-\Large\frac{1}{2-x}}}$,$x\neq 2$ are
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
The factors of the quadratic equation $9x^2-9(a+b)x+(2a^2+5ab+2b^2)=0$ are _____
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
The roots of the quadratic equation $a^2b^2x^2+b^2x-a^2x-1=0$ are ______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
The factors for the quadratic equation $(x-3)(x-4)=\large\frac{34}{33^2}$ are _______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
The roots of the quadratic equation $\large\frac{x+3}{x-2}-\frac{(1-2)}{x}=\frac{17}{4}$ are _______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
For what value of $k$ does the equation $12x^2+4kx+3=0$ has real and equal roots?
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
If $-4$ is the root of the quadratic equation $x^2+px-4=0$ and the quadratic equation $x^2+px+k=0$ has real roots,then the value of $k$ is ______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
For what values of $a$ does the equation $x^2-4x+a=0$ has distinct roots.
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
If $x=1$ is a common root of $ax^2+ax+2=0$ and $x^2+x+b=0$ then $ab$=_______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
If the sum of the roots of the equation $x^2-x=\lambda(2x-1)$ is zero then $\lambda$=_______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
For what values of $'a'$ does the equation $ax^2+2x+a=0$ has two distinct roots?
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
A quadratic polynomial whose sum of zeroes is $2\sqrt 3$ and their product is 2 is _______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
The discriminant value of the quadratic equation $3\sqrt 3x^2+10x+\sqrt 3=0$ is __________
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
For what values of $a$ will the equation $x^2+ax + 1=0$ has real roots?
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
For what value of $\lambda$ in the equation $x^2+4x+\lambda$ is a perfect square?
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
If $ax^2+bx+c=0$ has equal roots ,then $c=$_______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
If the roots of the equation $(a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0$ are equal,then
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
If the roots of the equation $(c^2-ab)x^2-2(a^2-bc)x+b^2-ac=0$ are equal,then $a^3+b^3+c^3=$______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
If the roots of the equation $(a^2+b^2)x^2-2(ac+bd)x+(c^2+d^2)=0$ are equal,then $\large\frac{a}{b}$=______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
If the roots of the equation $(b-c)x^2+(c-a)x+(a-b)=0$ are equal,then $2b=$_________
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
For what values of $k$ does the equation $kx^2+6x+1=0$ has real roots.
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
For what value of $k$ does the equation $3x^2+2x+k=0$ has real roots?
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
For what values of $k$ does the equation $x^2+5kx+16=0$ has no real roots.
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
For what values of $k$ will the equation $4x^2-3kx+1=0$ has real roots?
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
For what values of $k$ will the equation $9x^2+3kx+4=0$ have real roots?
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
For what values of $k$ will the equation $x^2+k(4x+k-1)+2=0$ have equal roots?
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
For what values of $k$ will the equation $(k+1)x^2-2(k-1)x+1=0$ have equal roots?
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
For what value of $k$ will the equation $kx^2-5x+k=0$ have equal roots?
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
The value of $\sqrt{6+\sqrt{6+\sqrt{6+..}}}$ is _______
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
For what value of $'c'$ will the quadratic equation $ax^2+2bx+c=0$ has equal roots.
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
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