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Recent questions in Class 10
Questions
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Class 10
Class 10
CBSE X Math
Questions from: Class 10
Find the equation of the plane passing through the line of intersection of the planes $x+y+z-1=0$ and $x+4y+3z=0$ and parallel to the line $x-1=3y=3(z+1)$
class10
maths
coordinate-geometry
asked
May 18
by
meena.p
1
answer
Find the shortest distance between two skew lines $ L_1: \large\frac{x-3}{2}=\frac{y+1}{4}=\frac{z-2}{-1}$ and $ L_2: \large\frac{x-3}{2}=\frac{y-2}{1}=\frac{z+2}{2}$ and obtain equations of two parallel planes $P_1$ and $P_2$ contain $L_1$ and $L_2$ respectively
class10
maths
coordinate-geometry
asked
May 18
by
meena.p
0
answers
prove 3[AB+BC+AC]HOLE SQUARE=4[AD+BE+CF]HOLE SQUARE
asked
Apr 30, 2015
by
_1
1
answer
Find the value of k for which the points $A(k+1,2k) ,B(3k,2k+3) $ and $ c(5k-1,5k)$ are collinear .
class10
cbse
2015
set-3
summative-2
sec-d
asked
Mar 18, 2015
by
meena.p
1
answer
A truck covers a distance of $150 km$ at a certain average speed and then covers another 200 km at an average speed which is $20\;km/hr$ more than the first speed. If the truck covers the total distance in 5 hours, find the first speed of the truck?
class10
cbse
2015
set-3
summative-2
sec-d
asked
Mar 18, 2015
by
meena.p
1
answer
An arithmetic progression $5, 12,19....., $ has I st terms. Find its last term hence find the sum of its last 15 terms.
class-10
cbse
2015
set-3
summative-2
sec-b
asked
Mar 18, 2015
by
meena.p
1
answer
A bag contains white, black and red balls only. A ball is drawn at random from the bag if the probability of getting a white balls is $\large\frac{3}{10} $ and that of black is $\large\frac{2}{5}$, then find the probability of getting a red balls. If the bag contains 20 black balls, then find the total number of balls in the bag.
class-10
cbse
2015
set-3
summative-2
sec-a
asked
Mar 18, 2015
by
meena.p
1
answer
Find the coordinates of a point P on the line segment joining $A(1,2) $ and $B(6,7)$ Such that $AP= \large \frac{2}{5} $$AB$
class10
cbse
2015
set-3
summative-2
sec-a
asked
Mar 18, 2015
by
meena.p
1
answer
The 13th term of an A.P is four times its 3rd term . If its fifth term is 16, then find the sum of its first ten terms
class10
cbse
2015
set-3
summative-2
sec-c
asked
Mar 18, 2015
by
meena.p
1
answer
Solve the following quadratic equation for $x_i.\qquad x^2-2ax-(4b^2-a^2)=0$
class10
cbse
2015
set-3
summative-2
sec-b
asked
Mar 18, 2015
by
meena.p
1
answer
Find the relation between x and y if the points $A(x,y) ,B(-5,7)$ and $C(-4,5)$ are collinear .
class10
cbse
2015
set-3
summative-2
sec-a
asked
Mar 18, 2015
by
meena.p
1
answer
Find the value of 'k' so that the area of the triangle with vertices $(k+1,1)(4,-3)$ and $(7,-k)$ is $6 \;sq.units$
class-10
cbse
2015
set-2
summative-2
sec-c
asked
Mar 17, 2015
by
meena.p
1
answer
If the 20th term of an AP is five times its third term . If its 10th term is 41, then find the sum of its first fifteen term
class10
cbse
2015
set-2
summative-2
sec-c
asked
Mar 17, 2015
by
meena.p
1
answer
Solve for $x : 2x^2+6 \sqrt 3 x -60 =0$
class10
cbse
2015
set-2
summative-2
sec-c
asked
Mar 17, 2015
by
meena.p
1
answer
All vertices of a rhombus be on a circle. Find the area of the rhombus , if the area of the circle is $1256\;cm^2$ $(\pi= 3.14)$
class10
cbse
2015
set-2
summative-2
sec-c
asked
Mar 17, 2015
by
meena.p
1
answer
If $A(4,3) ,B(-1,y) $ and $C(3,4) $ are the vertices of a right triangle $ABC$, right angled at A, then find the value of Y.
class10
cbse
2015
set-2
summative-2
sec-b
asked
Mar 17, 2015
by
meena.p
1
answer
From each end of solid metal was scooped out in hemispherical form of same diameter . The height of the cylinder is 10 cm and its base is of radius $4.2 \;cm$ . The rest of the cylinder is melted and covered into a cylindrical wire of $1.4\;cm$ thickness . Find the length of the wire $(\pi=\large\frac{22}{7})$
class10
cbse
2015
set-1
summative-2
sec-d
asked
Mar 17, 2015
by
meena.p
0
answers
In the Figure $PQRS$ is a square laws with side $PQ= 42 meters$. Two circular flower beds are there on the sides $PS$ and $QR$ with center at $Q,$ the intersection of its diagonals. Find the total area of the two flower bed (shaded parts)
class10
cbse
2015
set-1
summative-2
sec-d
asked
Mar 17, 2015
by
meena.p
1
answer
Find the value of k so that the area of the triangle with verices $(1,-1) , (-4,2k)$ and $(-k,-5)$ is 24 sq.units
class-10
cbse
2015
set-1
summative-2
sec-d
asked
Mar 17, 2015
by
meena.p
1
answer
A card is drawn at random from a well -shuffled deck of playing cards . Find the probability that the card drawn is (i) A card of spade or an ace (ii) a black king (iii) neither a jack nor a king (iv) either a king or a queen
class-10
cbse
2015
set-1
summative-2
sec-d
asked
Mar 17, 2015
by
meena.p
1
answer
At a Point A, 20 metres above the level of water in a lake , the angle of elevation of a cloud is $30^{\circ}$ . The angle of depression of the reflection of the cloud in the lake, at A ia $60^{\circ}$ . Find the distance of the cloud from A.
class10
cbse
2015
set-1
summative-2
sec-d
asked
Mar 17, 2015
by
meena.p
1
answer
Construct a $\Delta ABC$ in which $AB= 6\;cm, \angle A=30^{\circ}$ and $ \angle B=60^{\circ}$ construct another $ \Delta AB'C'$ similar to $\Delta ABC$ with base $AB'= 8 \;cm$
class10
cbse
2015
set-1
summative-2
sec-d
asked
Mar 17, 2015
by
meena.p
0
answers
Prove that the tangent drawn at the mid point of an arc of a circle is parallel to the chord joining the end points of the arc.
class-10
cbse
2015
set-1
summative-2
sec-d
asked
Mar 17, 2015
by
meena.p
1
answer
Prove that the length of the tangents drawn from an external point to a circle are equal
class10
cbse
2015
set-1
summative-2
sec-d
asked
Mar 17, 2015
by
meena.p
1
answer
A train travels at a certain average speed for a distance of 54 km and then travels a distance of $63\;km$ at an average speed of $6\;km/h$ more than the first speed. If it takes 3 hours to complete the total journey, what is its first speed?
class10
cbse
2015
set-1
summative-2
sec-d
asked
Mar 17, 2015
by
meena.p
1
answer
Find the 60th term of the AP $8,10,12....,$ if it has a total of 60 terms and hence find the sum of its last 10 terms .
class-10
cbse
2015
set-1
summative-2
sec-c
asked
Mar 17, 2015
by
meena.p
0
answers
Find the 60th term of the AP $8,10,12....,$ if it has a total of 60 terms and hence find the sum of its last 10 terms .
class10
cbse
2015
set-1
summative-2
sec-d
asked
Mar 17, 2015
by
meena.p
1
answer
The diagonal of a rectangular field is 16 meters more than the shorter side. If the longer side is 14 meters more than the shorter side, then find the lengths of the sies of the field.
class10
cbse
2015
set-1
summative-2
sec-d
asked
Mar 17, 2015
by
meena.p
1
answer
The diagonal of a rectangular field is 16 meters more than the shorter side. If the longer side is 14 meters more than the shorter side, then find the lengths of the sies of the field.
class-10
cbse
2015
set-1
summative-2
sec-d
asked
Mar 17, 2015
by
meena.p
0
answers
$504$ cones , each of diameter $3.5\;cm$ and height 3 cm, are melted and recast into a metallic sphere. find the diameter of the sphere and hence find its surface [use $\pi =\large\frac{22}{7}$ ]
class10
cbse
2015
set-1
summative-2
sec-c
asked
Mar 17, 2015
by
meena.p
1
answer
A cubical block of side 10 cm is surmounted by a hemisphere . What is the largest diameter that the hemisphere can have ? Find the cost of painting the total surface area of the solid so formed, at the rate of $5$ per $100 \;sq\;cm$ [Use $\pi = 3.14$]
class-10
cbse
2015
set-1
summative-2
sec-c
asked
Mar 17, 2015
by
meena.p
1
answer
A hemispherical bowl of internal diameter $36\;cm$ contains liquid. This liquid is filled into 72 cylindrical bottles of diameter 6 cm Find the height of the each bottle. If $10 \%$ liquid is wasted in this transfer .
class10
cbse
2015
set-1
summative-2
sec-c
asked
Mar 17, 2015
by
meena.p
1
answer
If the coordinates of points A and B are $(-2,-2)$ and $(2,-4)$respectively, find the coordinates of P such that $AP=\large\frac{3}{7} $$AB$, where P lies on the line segment AB.
class10
cbse
2015
set-1
summative-2
sec-c
asked
Mar 17, 2015
by
meena.p
1
answer
The angle of elevation of an aeroplane from a point A on the ground is $60^{\circ}$. After a flight of 15 seconds the angle of elevation changes to $30^{\circ}$. If the aeroplane is flying at a constant height of $1500 \sqrt 3\;m$ find the speed of the palne in km/hr
class10
cbse
2015
set-1
summative-2
sec-c
asked
Mar 17, 2015
by
meena.p
1
answer
Solve for x$ \sqrt 3 x^2 -2 \sqrt 2 x -2 \sqrt 3 =0$
class10
cbse
2015
set-1
summative-2
sec-c
asked
Mar 17, 2015
by
meena.p
1
answer
The 14th term of an AP is twice its 8th term . If its 6th term is $-8$ , then find the sum of its first 20 terms
class10
cbse
2015
set-1
summative-2
sec-c
asked
Mar 17, 2015
by
meena.p
1
answer
Find the ralation between x and y if the points $A(x,y), B(-5,7)$ and $C(-4,5)$ are collinear.
class10
cbse
2015
set-1
summative-2
sec-b
asked
Mar 17, 2015
by
meena.p
1
answer
The points $A(4,7),B(p,3)$ and $C(7,3)$ are the vertices of a right triangle , right angled at B. Find the value of P.
class10
cbse
2015
set-1
summative-2
sec-b
asked
Mar 17, 2015
by
meena.p
1
answer
In an AP, if $S_5+S_7=167$ and $S_{10} =235$ , then find the AP , where $S_n$ denotes the sum of its first n terms.
class10
cbse
2015
set-1
summative-2
sec-b
asked
Mar 17, 2015
by
meena.p
1
answer
Solve the following quadratic equation for x: $4x^2+4bx-(a^2-b^2) =0$
class10
cbse
2015
set-1
summative-2
sec-b
asked
Mar 17, 2015
by
meena.p
1
answer
A triangle ABC is drawn to circumscribe a circle of radius 3 cm. such that the segments $BD$ and $DC$ are respectively of length 6 cm and 9 cm. If the are $\Delta ABC$ is $54\;cm^2$, then find the lengths of sides $AB$ and $AC $
class10
cbse
2015
set-1
summative-2
sec-b
asked
Mar 17, 2015
by
meena.p
1
answer
Two tangents $RQ$ and $RP$ are drawn from an external point R to the circle with center $Q$. If $ \angle PRQ=120^{\circ}$ then prove that $OR=PR=RQ$
class10
cbse
2015
set-1
summative-2
sec-b
asked
Mar 17, 2015
by
meena.p
1
answer
In figure , $PQ$ is a chord of a circle with centre $O$ and $PT$ is a tangent . If $\angle QPT =60^{\circ}$, find $\angle PRQ$
class10
cbse
2015
set-1
summative-2
sec-a
asked
Mar 17, 2015
by
meena.p
1
answer
Two different dice are tossed together , Find the probability that the product of the two numbers on the top of the dice is 6.
class10
cbse
2015
set-1
summative-2
sec-a
asked
Mar 17, 2015
by
meena.p
1
answer
A tower AB is 20 m high and BC , its shadow on the ground is $ 20 \sqrt 3 \;m$ long. Find the Sun's altitude.
class10
cbse
2015
set-1
summative-2
sec-a
asked
Mar 17, 2015
by
meena.p
1
answer
If the quadratic $px^2- 2 \sqrt 5 px +15 =0$ has two equal roots, then find the value of p.
class10
cbse
2015
set-1
summative-2
sec-a
asked
Mar 17, 2015
by
meena.p
1
answer
If $A(-2,-1), B(a,0), C(4,b)$ and $D(91,2)$ are the vertices of a parallelogram, find the values of a and b.
cbse
class10
math
sa-2
modelpaper
mock-test-series-2015
sec-d
asked
Feb 19, 2015
by
meena.p
1
answer
Find the coordinates of the circumcentre of the triangle whose vertices are $(8,6),(8.2)$ and $(2,-2)$. Also find its circum-radius
cbse
class10
math
sa-2
modelpaper
mock-test-series-2015
sec-d
asked
Feb 19, 2015
by
meena.p
1
answer
$ABC$ is a right angled triangle , right angled at A. Find the area of the shaded region if $AB = 6cm, BC = 10cm$ and $I$ is the centre of the incircle of $\Delta ABC.$
cbse
class10
math
sa-2
modelpaper
mock-test-series-2015
sec-d
asked
Feb 19, 2015
by
meena.p
1
answer
Sonia buys a shop for $Rs. 1,20,000$. She pays half the amount in cash and agrees to pay the balance in $12$ annual installments of $Rs. 5000$ each. If the rate of interest is $12 \%$ and she pays with the installment due on the unpaid amount, find the total cost of the shop.
cbse
class10
math
sa-2
modelpaper
mock-test-series-2015
sec-d
asked
Feb 19, 2015
by
meena.p
0
answers
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