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Recent questions in Class 10
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Olympiad-Math
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Class 10
The circum radius of a triangle whose vertices are $(4,6) ,(0,4)$ and $ (6,2) $ is _________ units
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
1
answer
The points on the x- axis which at a distance of 5 units from the point A $(5,-3) $ is
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
1
answer
For what values of $a$ does the equation $x^2-4x+a=0$ has distinct roots.
sat
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
The distance of the point $(6,-6) $ from the origin is ________
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
1
answer
The area of an equilateral triangle whose vertices are $(-a,-a),(a,a)$ and $ (-\sqrt {3a}, \sqrt {3a}) $ is ________
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
1
answer
If $x=1$ is a common root of $ax^2+ax+2=0$ and $x^2+x+b=0$ then $ab$=_______
sat
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
The points $(-3,0) , (1,-3) $ and $ (4,1) 4 are the vertices of an isosceles right angled triangle . Then the area of this triangle is ______ sq. units
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
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
The vertices $(0,0) , (a,b)$ and $(-a,b)$ from a triangle .
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
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
The vertices $A(-2,5) , B(3,-4)$ and $C(7,10)$ from a triangle .
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
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
If two vertices of an equilateral triangle are $(0,0),(3, \sqrt 3)$, then the third vertex is _________
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
1
answer
If the $(x,y) $ is equidistant from the points $(a+b,b-a)$ and $(a-b,a+b)$ then $bx=$________
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
1
answer
The discriminant value of the quadratic equation $3\sqrt 3x^2+10x+\sqrt 3=0$ is __________
sat
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
The distance between the points $(a,b)$ and $(-b,a)$ is _______
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
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
sat
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 $3x^2+2x+k=0$ have real roots?
sat
math
olympiad
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
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 the sum of the zeroes of the polynomial $f(x)=kx^2-3x+5$ is $1$,then the value of $'k'$ is
olympiad math class-10 ch-2 polynomials
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
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