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Recent questions in Class 10
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Olympiad-Math
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Class 10
The value of 'a' such that the point $(3,a)$ lies on the line represented by $2x-3y+5=0$ is _____
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 29, 2014
by
meena.p
1
answer
The ratio in which the line segment giving the points $A(3,-6)$ and $ B(5,3)$ being divided by x-axis is______
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 29, 2014
by
meena.p
1
answer
The mid point of the line segment joining the points $A(x,y+1)$ and $B(x+1,y+2)$ is $C\bigg(\large\frac{3}{2},\frac{5}{2}\bigg)$ then the value of x and y are _______
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 29, 2014
by
meena.p
1
answer
The perimeter of a triangle formed by the points $(0,0),(1,0) $ and $(0,1) $ is
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 29, 2014
by
meena.p
1
answer
If the points $(k,2k),(3k,3k)$ and $(3,1)$ are collinear,then the value of k is ______
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 29, 2014
by
meena.p
1
answer
A line segment is of length 10 units . If the coordinates of its one end are $ (2,-3)$ and the abscissa of the other end is 10, then its ordinate is _______
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 29, 2014
by
meena.p
1
answer
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 ______
sat
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 the centroid of a triangle in $(1,4)$ and two of its vertices are $(4,-3)$ and $ (-9,7)$, then the area of the triangle is
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 29, 2014
by
meena.p
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
Four points $A(6,3),B(-3,5),C(4,-2)$ and $D(x,3x)$ are given in such a way that $\large\frac{\Delta DBC}{\Delta ABC}=\frac{1}{2}$, then the value of x is _______
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 29, 2014
by
meena.p
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 area of the triangle whose vertices are $A(2,7),B(3,-1)$ and $ (-5,6)$ are
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 29, 2014
by
meena.p
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 vertices of a triangle are $(1,k),(4,-3)$ and $(-9,7)$ and its area is 15 sq.units , then the value of k is
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 29, 2014
by
meena.p
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 $x=3$ are the roots are the equations $3x^2-2px+2q=0$,then the value of $p$ and $q$ are ______
sat
math
quadratic-equations
olympiad
ch-4
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
Say True or False : <br>$3$ is a root of the equation <br>$\sqrt{x^2-4x+3}+\sqrt{x^2-9}=\sqrt{4x^2-14x+16}$
sat
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 _______
sat
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 $k$ if $x=-a$ is a solution of the equation $x^2+2ax-k=0$ is _______
sat
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 _____
sat
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 _______
sat
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 29, 2014
by
sreemathi.v
1
answer
The points $(a, b+c) , (b, c+a) $ and $(c,a+b)$ ________
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
1
answer
If the Points $(1,4), (3,y) $ and $(-3,16)$ are collinear , then the value of y is
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
1
answer
If the Points $(-3,12), (7,6) $ and $(x,9)$ are collinear , then the value of x is
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
1
answer
If the Points $(1,5), (k,1) $ and $(4,11)$ are collinear , then the value of k is
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
1
answer
The points $(-1,1), (5,7)$ and $(8,10)$ ______
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
1
answer
The two opposite angular points of a square are $(3,4) $ and $(1,-1) $ the coordinates of the remaining angular points are ________
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
1
answer
The quadrilateral formed by the vertices $(-3,2), (-5,-5),(2,-3)$ and $(4,4) $ is _________
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
1
answer
The area of an isosceles right angle triangle whose vertices are $(-5,6) ,(3,0) $ and $ (9,8)$ is ____ sq. units
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
1
answer
The point on y axis each of which is at a distance of 13 units from the point $(-5,7) $ is _______
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
1
answer
If $(x,y)$ is equidistant from $(6,-1) $ and $(2,3) $ then the relation between x and y is _______
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
1
answer
The value of a for which the distance between the points $(a,-1)$ and $(5,3) $ is 5 units is _______
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
1
answer
The distance between the point $(qa \sin \alpha , a \cos \alpha ) $ and $( a \cos \alpha, -a \sin \alpha)$ is
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
1
answer
For what value of $k$ does the equation $12x^2+4kx+3=0$ has real and equal roots?
sat
olympiad
math
ch-4
quadratic-equations
class10
asked
Oct 28, 2014
by
sreemathi.v
1
answer
The radius of a circle passing through the points $(2,1) , (5,-8) $ and $(2,-9) $ is _______ units
olympiad
math
ch-6
coordinate-geometry
class10
asked
Oct 28, 2014
by
meena.p
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
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