## S-8-30-The nth  term and the sum of first n terms of an A.P are respectively are  Tn and Sn and (Sm /Sn )= (m²/n²) prove that(Tm /Tn = 2m-1/2n-1 )

The nth  term and the sum of first n terms of an A.P are respectively are  Tn and Sn and (Sm /Sn )= (m²/n²) prove that(Tm /Tn = 2m-1/2n-1 ) Or Find the sum of first 40 positive integers divisible by Read More …

## S-8-29-A metallic right circular cone 20 cm high and whose vertical angle is 60° is cut into two parts at the middle of its height by a plane parallel to its base. Find the volume of the frustum so obtained.

A metallic right circular cone 20 cm high and whose vertical angle is 60° is cut into two parts at the middle of its height by a plane parallel to its base. Find the volume of the frustum so obtained.

## S-8-28-The angle of elevation of a cloud from a point 60 m above a lake is 30° and the angle of depression of the reflection of the cloud in the lake is 60°. Find the height of the cloud.

The angle of elevation of a cloud from a point 60 m above a lake is 30o and the angle of depression of the reflection of the cloud in the lake is 60°. Find the height of the cloud.

## S-8-27-Find the area of the shaded region in fig-5, where ABCD is a square of side 20cm.

Find the area of the shaded region in fig-5, where ABCD is a square of side 20cm.

## S-8-26-If the median of the distribution given below is 28.5, find the values of x and y.The sum of all frequency is 60

If the median of the distribution given below is 28.5, find the values of x and y.The sum of all frequency is 60

## S-8-25-If tanθ + sin θ =m and tanθ – sin θ =n show that , m² -n² =4 (√mn).

If tanθ + sin θ =m and tanθ – sin θ =n show that , m² -n² =4 (√mn). or If sec θ =x+1/4x , prove that sec θ +tanθ =2x or 1/2x.

## S-8-24-Check graphically whether the pair of equations x + y = 8 and x – 2y = 2 is consistent. If so, solve them graphically. Also find the coordinates of the points where the two lines meet the y-axis.

Check graphically whether the pair of equations x + y = 8 and x – 2y = 2 is consistent. If so, solve them graphically. Also find the coordinates of the points where the two lines meet the y-axis.

## S-8-23-Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°.

Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°. Or Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of Read More …

## S-8-22-State the ‘Fundamental Theorem of Arithmetic’ . Use Euclid’s division algorithm to find the HCF of 196 and 38220. Hence find the LCM of these numbers.

State the ‘Fundamental Theorem of Arithmetic’ . Use Euclid’s division algorithm to find the HCF of 196 and 38220. Hence find the LCM of these numbers.

## S-8-21-Two tangents PA and PB are drawn to a circle with centre O from an external point P. Prove that ∠ APB =2∠OAB.

Two tangents PA and PB are drawn to a circle with centre O from an external point P. Prove that ∠ APB =2∠OAB. Or A circle with centre O, diameter AB and a chord AD is drawn. Another circle is drawn with AO Read More …

## S-8-20-If cos θ +sinθ =√2 sinθ , then prove that, cos θ -sinθ =√2 sinθ [0°< θ <90°]

If cos θ +sinθ =√2 sinθ , then prove that, cos θ -sinθ =√2 sinθ [0°< θ <90°]

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