Recent questions tagged class10

From a thin metallic piece, in the shape of a trapezium $ABCD,$ in which $AB$ is parallel to $CD$ and $\angle BCD = 90^{\circ}$, a quarter circle $BEFC$ is removed. Given $AB = BC = 3.5\;cm$ and $DE = 2cm,$ calculate the area of the remaining piece of the metal sheet.

asked Feb 19, 2015 by meena.p

1 answer

The cost of painting the total outside surface of a closed cylindrical oil tank at $50\;paise$ per sqdm is $Rs. 275$. The height of the tank is $5$ times the radius of the base of the tank. Find its volume .

asked Feb 19, 2015 by meena.p

1 answer

How many lead shots each having diameter $3\;cm$ can be made from a cuboidal lead solid of dimensions $9cm \times 11cm \times 12cm$

asked Feb 19, 2015 by meena.p

1 answer

IF $\Delta ABC$ is isosceles with $AB =AC$ and centre $(O,r)$ is the incircle of the $∆ABC$ touching $BC$ at $L$. Prove that $L$ bisects $BC.$

asked Feb 19, 2015 by meena.p

0 answers

A circus tent is cylindrical upto a height of $3m$ and conical above it. I the diameter of the base is $105\;m$ and the slant height of the conical part is $53\;m$, find the total canvas used in making the tent.

asked Feb 19, 2015 by meena.p

1 answer

In a musical chair game, the person playing the music has been advised to stop playing the music at any time within $2$ minutes after she startys playing. What is the probability that the music will stop within half a minute after starting?

asked Feb 19, 2015 by meena.p

1 answer

Prove that the points $(a,b+c),(b,c+a),(c,a+b)$ are collinear.

asked Feb 18, 2015 by meena.p

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Determine the ratio of the volume of a cube to that of a sphere which will exactly fir inside the cube.

asked Feb 18, 2015 by meena.p

1 answer

If a circle is inscribed in a parallelogram, how will the parallelogram change?

asked Feb 18, 2015 by meena.p

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What is the value of ‘t’, if the points $(t,2t),(-2,6)$ and $(3,1)$ are collinear?

asked Feb 18, 2015 by meena.p

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What is the diameter of the semicircular protractor whose perimeter is $36\;cm$?

asked Feb 18, 2015 by meena.p

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What is the maximum volume of a cone that can be carved out of a solid hemisphere of radius ‘r’ ?

asked Feb 18, 2015 by meena.p

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From the letter “Mathematics” a letter is selected. What is the probability that the selected letter is a vowel?

asked Feb 18, 2015 by meena.p

1 answer

What is the angle of elevation of the sun when the length of the shadow of a vertical pole is equal to the height?

asked Feb 18, 2015 by meena.p

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Find the value of $a_{30} – a_{10}$ for the A.P. $4,9,14,19… $

asked Feb 18, 2015 by meena.p

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For what value of $p,$ does the equation has real roots, $2px^2 – 8x +p=0$

asked Feb 18, 2015 by meena.p

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In the figure AP is a tangent to the circle with centre O Such that $OP=4\;cm$ and $\angle OPA =30^{\circ}$. Then AP

asked Jan 8, 2015 by meena.p

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AP and PQ are tangents drawn from a point A to a circle with center O and radius 9 cm. If $OA=15\;cm, $ then $AP+AQ$ =_______

asked Jan 8, 2015 by meena.p

1 answer

In the figure if $AP=PB$ , then

asked Jan 8, 2015 by meena.p

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The perimeter of the $\Delta ABC$ in the adjacent figure is ________

asked Jan 8, 2015 by meena.p

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The length of the tangent drawn from point $8\;cm$ away from the centre of a circle of rdius $6\;cm$ is

asked Jan 8, 2015 by meena.p

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CP and CQ are tangent from an external point C to a circle with centre O. AB is another tangent which touches the circle at R. If $CP= 11 \;cm$ and $BR= 4\;cm$, then the length of BC is __________

asked Jan 8, 2015 by meena.p

1 answer

Equal circles with centres O and O' touch each other at X. OO' produced to meet a circle with centre O' , at A. AC is a tangent to the circle where centre O. O'D is perpendicular to $AC$. Then $\large\frac{DO'}{CO}$

asked Jan 8, 2015 by meena.p

1 answer

In the figure, BC is a tangent to the circle with center O. OE bisects AP. Then $\Delta AEO$ is _______ $\Delta ABC$

asked Jan 8, 2015 by meena.p

1 answer

In the figure two tangents AB and AC are drawn to a circle with center O such that $\angle BAC=120^{\circ},$ then $OA$ =______ $AB$

asked Jan 8, 2015 by meena.p

1 answer

If an isosceles triangle ABC in which $AB= AC=6\;cm$ is inscribed in a circle of radius $9\;cm$ , then the area of the triangle ABC is _______

asked Jan 8, 2015 by meena.p

1 answer

Two radii of two concentric circles are $13\;cm$ and $8\;cm$ . AB is a diameter of the bigger circle BD is a tangent to the smaller circle touching it at D. Then the length of AD is ________

asked Jan 8, 2015 by meena.p

1 answer

Two concentric circles are of radii 5 cm and 3cm . The length of the chord of the large circle which touches the smaller circle is __________

asked Jan 8, 2015 by meena.p

1 answer

d and m are the parallel tangents at A and B . The tangent at C makes an intercept DE between d and m. Hence $\angle DFE=$ _______

asked Jan 7, 2015 by meena.p

1 answer

PQ is a chord of length $8\;cm$ of a circle of radius $5\;cm$ . The tangent at P and Q intersect at a point T. The length of TP is _________

asked Jan 7, 2015 by meena.p

1 answer

Two tangents TP and TQ are drawn to a circle with center 'O' from an external point T. Then $\angle PTQ=$ _______ $ \angle OPQ$

asked Jan 7, 2015 by meena.p

1 answer

ABCD is a quadrilateral such that $\angle D=90^{\circ}$ . A circle $(O,r)$ touches the sides $AB,BC,CD$ and $DA$ at $PQR$ and $S$ respectively . If $BC=38\;cm, CD=25\;cm$ and $BP =27 \;cm$, then r=__________

asked Jan 7, 2015 by meena.p

1 answer

The incircle of a $\Delta ABC$, touches the sides BC , CA and AB at D, E and F respectively. Then $AF+BD+CE = AE+BF+CD=$ _______ perimeter of $\Delta ABC$

asked Jan 7, 2015 by meena.p

1 answer

In the figure O is the centre of a circle of radius $5\;cm$ . T is a point such that $OT= 13\;cm$ and OT intersects the circle at E. If AB is the tangent to the circle at E , then the length of AB is ______

asked Jan 7, 2015 by meena.p

1 answer

In the figure two equal circles touch each other at $T$, if $QP=4.5\;cm$ , then $QR=$______

asked Jan 6, 2015 by meena.p

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If the figure if PR is the tangent to the circle at P and Q is the centre of the circle , then $\angle POQ$ =

asked Jan 6, 2015 by meena.p

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In the figure if $AP=PB$, then

asked Jan 6, 2015 by meena.p

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If the quadrilateral PQRS circumscribes a circle,as shown in the figure . then $PD+QB$ = ______

asked Jan 6, 2015 by meena.p

1 answer

In the figure if PA and PB are tangents drawn to a circle Such that $\angle APB =30^{\circ}$ and chord AC is drawn parallel to the tangent PB, then $\angle ABC$=_____

asked Jan 6, 2015 by meena.p

1 answer

APB is a tangent to a circle with center O at point P, If $\angle QPB =50^{\circ}$ then the measure of $\angle POQ $ is ______

asked Jan 6, 2015 by meena.p

1 answer

Two Concentric circles of radii 3 cm and 5 cm are given. The length chord BC Which touches the inner circle at P is equal to _____________

asked Jan 6, 2015 by meena.p

1 answer

In the figure If $AB =8\;cm$ and $PE= 3\;cm$ , then $AE$=________

asked Jan 6, 2015 by meena.p

1 answer

There are two concentric circles with center O. PR and PS are tangents to the inner circle from point on the circle. If $PR=7.5\;cm$, then $PS$=_______

asked Jan 6, 2015 by meena.p

1 answer

Two chords AB and CD of a circle intersect each other at a point E, inside the circle. If $AE= 3\;cm,CE=5\;cm$ and $EB= 4\;cm$, then $ED= $ __________

asked Jan 6, 2015 by meena.p

1 answer

O is the centre of the circle with radius 5 cm $OP \perp CD, OQ \perp CD , AB \parallel CD, AB= 6 \;cm$ and $CD= 8 \;cm$. Hence PQ is _________

asked Jan 6, 2015 by meena.p

1 answer

In the figure a circle with center O is inscribed in a quadrilateral ABCD such that, it touches BC,AB,AD and CD at points P,Q,R and S respectively . If $AB=29\;cm, AD= 23\;cm, \angle B=90^{\circ}$ and $DS=5 \;cm$ then the radius of the circle is

asked Jan 6, 2015 by meena.p

1 answer

In a circle with center O chords AB and CD intersect inside the circumference at E. Then $\angle AOC + \angle BOD$ = _______ $\angle AEC$

asked Jan 6, 2015 by meena.p

1 answer

AB and CD are two parallel chords of a circle with center O Such that $AB= 6\;cm$ and $CD= 12\;cm$ . The Chords are on the same side of the centre and the distance between them is $3\;cm$ The radius of the circle is

asked Jan 6, 2015 by meena.p

1 answer

The chord of a circle is equal to its radius. The angle subtended by this chord at the minor are of the circle is

asked Jan 6, 2015 by meena.p

1 answer

Given below are the steps of construction to draw a pain of tangents to a circle of radius 5 cm which are inclined to each other at an angle of $60^{\circ}$ Step 1 : Take a point O on the plane of the paper and draw a circle of radius $OA=5\;cm$. Step 2 : Produce $OA$ to $B$ Such that $OA= OB= 5\;cm$ Step 3 : Taking A as the centre draw a circle of radius $AO=AB=5\;cm$ . Suppose it cuts the circle draw in step I at P and Q . Step 4: join BP and BQ to get the desired target . Which of the above steps are in correct ?

asked Jan 6, 2015 by meena.p

1 answer

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