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A company with 10000 shares of 100rs each declares an annual dividend of 5% (i) What is the total amount of dividend paid by the company ? (ii) What should be the annual income of man who has 72 shares in the company ?

Construct two circles of radii 2 cm and 3 cm, the distance between whose centres is 8.7 cm.Then draw a transverse common tangent to these two circles.

If A = {0,1,2,3,4,5,6,7,8,9,10}, then list out all the pairs of distinct numbers from set A which are congruent to each other under modulo 5.

Market value of sharesand dividend declared by the two companies is given below. Face value is same and it is 100 for both the shares. Investment in which company is more profitable? a. Company A -160, 15% b. Company B -225, 20%

A hemisphere is cut from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the side of the cube. Determine the total surface area of the remaining solid.

A storage tank consists of a circular cylinder with a hemisphere stuck on either end. If the external diameter of the cylinder be 1.4 cm and its length be 8 m. Find the cost of painting it on the outside at rite of Rs. 20per m^2.

If t_(n) represents nth term of an A.P., t_(2)+t_(5)-t_(3)= 10 and t_2 + t_9= 17. find its first term and its common difference.

Find the corrdinates of the point which divides the join(-1, 7) and (4, -3) in the ratio 2:3.

A sphere , a cylinder and a cone are of the same radius and same height . Find the ratio of their curved surface areas.

Find the coordinates of centroid of the triangle with vertices: -1, 3), (6, -3) and (-3, 6)

Find the roots of the following quadraticequations by factorisation : x^(2)-3x-10=0

If x+y+z=0, then (x^2)/( yz) + (y^2)/( zx) + (z^2)/( xy) is equal to

Solve: (i) 8/(x+2y)+3/(2x-y)=3,12/(x+2y)-6/(2x-y)=1. (ii) 2/(x-1)+3/(y-2)=1,5/(x-1)+6/(y-2)=7 (iii) 1/(3x+y)+1/(3x-y)=12/35,1/(2x(3x+y))-1/(2(3x-y))=2/35

Check whether the following equations are consistent or inconsistent. Solve them graphically. (c ) 3/2x + 5/3y = 7 9x - 10y = 12

If the sum of the coefficients in the exapansion (4ax-1-3a^(2)x^(2))^(10) is 0, then the value of a can be __________

An A.P. consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term of the A.P.

A point P is reflected in the origin. Co-ordinates of its image are (-2, 7). Find the co-ordinate of P.

8 men and 12 boys canfinish a piece of work in 10 days while 6 men and 8 boys can finish it in 14days. Find the time taken by one man alone and that by one boy alone tofinish the work.

What does it mean ?

Which one of the following diagrams correctly represents the relationship among the classes:Tennis fnas ,Cricket player,students?

Find the radius of the circle whose centre is (3, 2) and passes through (-5, 6).

The vertices of a DeltaABC are A(3, 8), B(-1, 2) and C(6, 6). Find : (i) Slope of BC. (ii) Equation of a line perpendicular to BC and passing through A.

Find the roots of following quadratic equations by using quadratic formula, if they exist. (i)2x^(2)+x-4=0 (ii) 2x^(2)+x+4=0 (iii) 2x^(2)+5sqrt3x+6=0 (iv) sqrt3x^(2)+11x+6sqrt3=0

Without solving equation x^(2)-x+1=0, find whether x=-1 is a root of this equation or root.

P is a point in the plane of a circle with centre O and radius 4 cm. If OP = 3 cm, ..... tangent/s can be drawn to the circle from point P.

Determine the value of the following. log_(2)(1/16)

Diagonal of rhombus are 12 cm and 16cm. Find its side.

Construct a tangent to a circle of radius 4cm from a point on the concentric circle of radius 6cm and measure its lengths. Also Verify the measurement by actual calculation.

Draw a tangent to a given circle with center O from a point 'R' outside the circle. How many tangents can be drawn to the circle from that point ?

Neel has invested in shares as follows. Find his total investment. Company A : 350 shares, FV=10, premium =7 Company B : 2750 shares, FV=5, Discount =1 Company C : 50 shares, FV=100, MV=150

If A=[{:(,3,x),(,0,1):}] and B=[{:(,9,16),(,0,-y):}] find x and y when A^2=B.

Length of the shadow of a person is x when the angle of elevation of the sun is 45°. If the length of the shadow increased by (sqrt(3)-1)x,then the angle of elevation becomes

If the facevalue of both the shares is same, then which investment out of the following is more profitable? Company A: dividend 15%, MV=110, Company B: dividend 12%, MV=150.

Find the zeroes of the quadratic polynomial x^(2)+7x+10 and verify the relationship between its zeroes and coefficients.

Draw a circle of radius 4 cm. Take a poin P outside the circle. Without using the centre of the circle, draw two tangents to the circle from point P.

Find x and y, if : (i) [{:(,4,3x),(,x,-2):}] [{:(,5),(,1):}]=[{:(,y,8):}] (ii) [{:(,x,0),(,-3,1):}] [{:(,1,1),(,0,y):}]=[{:(,2,2),(,-3,-2):}]

If the face value of both the shares is same, then which investment out of the following is more profitable? Company A : dividend 16%, MV=80, Company B : dividend 20%, MV=120.

Draw a tangent to the circle from the point P having radius 3.6 cm and centre at O. Point P is at a distance 7.2 cm from thecentre.

Draw a circle of radius 3 cm. From a point P, 7 cm away from its centre, draw two tangents to the circle. Measure the length of each tangent.

Determine the AP whose third term is 16 and the 7th term exceeds the 5th term by 12.

If (x-2) is a factor of 2x^(3)-x^(2)-px-2 (i) find the value of p. (ii) with the value of p, factorise the above expression completely.

Radius and height of a right circular cone and that of a right circular cylinder are respectively, equal. If the volume of the cylinder is 120cm^(3), then the volume of the cone is equal to ……… .

Prove that sqrt(7) is irrational.

Fin dthe remainder when 2^(24) is divided by 35.

What is the name given to a line intersecting a circle in two points ?

Two identical solid cones each of base radius 3 cm with vertical height 5 cm and one more solid cone of base radius 2 cm with vertical height 4.5 cm are jointly melted and recast into a solid sphere. Find : (i) the radius, (ii) curved surface area of the sphere.