Recent questions tagged olympiad

If the Points $(-3,12), (7,6) $ and $(x,9)$ are collinear , then the value of x is

asked Oct 28, 2014 by meena.p

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If the Points $(1,5), (k,1) $ and $(4,11)$ are collinear , then the value of k is

asked Oct 28, 2014 by meena.p

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The points $(-1,1), (5,7)$ and $(8,10)$ ______

asked Oct 28, 2014 by meena.p

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The two opposite angular points of a square are $(3,4) $ and $(1,-1) $ the coordinates of the remaining angular points are ________

asked Oct 28, 2014 by meena.p

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The quadrilateral formed by the vertices $(-3,2), (-5,-5),(2,-3)$ and $(4,4) $ is _________

asked Oct 28, 2014 by meena.p

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The area of an isosceles right angle triangle whose vertices are $(-5,6) ,(3,0) $ and $ (9,8)$ is ____ sq. units

asked Oct 28, 2014 by meena.p

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The point on y axis each of which is at a distance of 13 units from the point $(-5,7) $ is _______

asked Oct 28, 2014 by meena.p

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If $(x,y)$ is equidistant from $(6,-1) $ and $(2,3) $ then the relation between x and y is _______

asked Oct 28, 2014 by meena.p

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The value of a for which the distance between the points $(a,-1)$ and $(5,3) $ is 5 units is _______

asked Oct 28, 2014 by meena.p

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The distance between the point $(qa \sin \alpha , a \cos \alpha ) $ and $( a \cos \alpha, -a \sin \alpha)$ is

asked Oct 28, 2014 by meena.p

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For what value of $k$ does the equation $12x^2+4kx+3=0$ has real and equal roots?

asked Oct 28, 2014 by sreemathi.v

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The radius of a circle passing through the points $(2,1) , (5,-8) $ and $(2,-9) $ is _______ units

asked Oct 28, 2014 by meena.p

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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 ______

asked Oct 28, 2014 by sreemathi.v

1 answer

The circum radius of a triangle whose vertices are $(4,6) ,(0,4)$ and $ (6,2) $ is _________ units

asked Oct 28, 2014 by meena.p

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The points on the x- axis which at a distance of 5 units from the point A $(5,-3) $ is

asked Oct 28, 2014 by meena.p

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For what values of $a$ does the equation $x^2-4x+a=0$ has distinct roots.

asked Oct 28, 2014 by sreemathi.v

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The distance of the point $(6,-6) $ from the origin is ________

asked Oct 28, 2014 by meena.p

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The area of an equilateral triangle whose vertices are $(-a,-a),(a,a)$ and $ (-\sqrt {3a}, \sqrt {3a}) $ is ________

asked Oct 28, 2014 by meena.p

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If $x=1$ is a common root of $ax^2+ax+2=0$ and $x^2+x+b=0$ then $ab$=_______

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

asked Oct 28, 2014 by meena.p

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If the sum of the roots of the equation $x^2-x=\lambda(2x-1)$ is zero then $\lambda$=_______

asked Oct 28, 2014 by sreemathi.v

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The vertices $(0,0) , (a,b)$ and $(-a,b)$ from a triangle .

asked Oct 28, 2014 by meena.p

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For what values of $'a'$ does the equation $ax^2+2x+a=0$ has two distinct roots?

asked Oct 28, 2014 by sreemathi.v

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The vertices $A(-2,5) , B(3,-4)$ and $C(7,10)$ from a triangle .

asked Oct 28, 2014 by meena.p

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A quadratic polynomial whose sum of zeroes is $2\sqrt 3$ and their product is 2 is _______

asked Oct 28, 2014 by sreemathi.v

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If two vertices of an equilateral triangle are $(0,0),(3, \sqrt 3)$, then the third vertex is _________

asked Oct 28, 2014 by meena.p

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If the $(x,y) $ is equidistant from the points $(a+b,b-a)$ and $(a-b,a+b)$ then $bx=$________

asked Oct 28, 2014 by meena.p

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The discriminant value of the quadratic equation $3\sqrt 3x^2+10x+\sqrt 3=0$ is __________

asked Oct 28, 2014 by sreemathi.v

1 answer

The distance between the points $(a,b)$ and $(-b,a)$ is _______

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?

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?

asked Oct 28, 2014 by sreemathi.v

1 answer

If $ax^2+bx+c=0$ has equal roots ,then $c=$_______

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

asked Oct 28, 2014 by sreemathi.v

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If the roots of the equation $(c^2-ab)x^2-2(a^2-bc)x+b^2-ac=0$ are equal,then $a^3+b^3+c^3=$______

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 $\large\frac{a}{b}$=______

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 $2b=$_________

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.

asked Oct 28, 2014 by sreemathi.v

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For what value of $k$ does the equation $3x^2+2x+k=0$ have real roots?

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.

asked Oct 28, 2014 by sreemathi.v

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For what values of $k$ will the equation $4x^2-3kx+1=0$ has real roots?

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?

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?

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?

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?

asked Oct 28, 2014 by sreemathi.v

1 answer

The value of $\sqrt{6+\sqrt{6+\sqrt{6+..}}}$ is _______

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.

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

asked Oct 20, 2014 by sreemathi.v

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If the product of the zeroes of the polynomial $f(x)=ax^3-6x^2+11x-6$ is $4$ then $a=$

asked Oct 20, 2014 by sreemathi.v

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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

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

asked Oct 20, 2014 by sreemathi.v

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