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How manysolutions does the pair of equations:x + 2y =3 and 1/2 x + y -3/2 =0 have ?

Findthe volumeof thelargestrightcircukar conethat canbecutofcubeof edge7 cm.

A boy spends Rs. 10 on first day, Rs. 20 on second day, Rs. 40 on third day and so on. Find how much, in all, will he spend in 12 days ?

If they are in G.P.Write next one terms. 1/2, 1/4, 1/8,…….

Find the probability of getting head when coin is tossed once.

Howwill you find the distance between two points in which x or y co-ordinates are same but not zero?(AS_(2))

Point M(-3,-2) is on line parallel to Y-axis and line x=4 is parallel to Y-axis.

If cos A = (5)/(13) and A " is not in first quardrant, then find the value of " (sinA-cosA)/(tanA+1).

Conmputerthe incometax payable by Mr Ardeshar. (Do not take cess into consideration ) Age 62 years, taxbleincome ₹ 7,20,000 .

A man wants to buy 62 shares available at 132rs (par value being 100rs). (i) How much he will have to invest ? (ii)If the dividend is 7.5% what will be his annual income ? (iii) If he wants to increase his annual income by 150rs how many extra shares should he buy ?

Divide Rs1,870 into three parts in such a way that half of the first part, one-third of the second part and one-sixth of the third part are all equal.

If the length of a tangent drawn from a point P to the circle is 24 cm and the distance of the point from the centre is 25 cm, then length of the radius is :

Attempt this question on graph paper. Write down : the single transformation that maps A' to A''.

If the price of petrolis increased by ₹ 2 per litre, a personwill have to buy 1 litreless petrol for₹ 1740. Findthe originalprice of petrol at that time .(a)Why do you think the priceof petrol is increasingday-by-day?(b)What shouldwe do to save petrol ?

For what value of n, are the nth terms of two APs: 63, 65, 67, ... and 3, 10, 17, ... equal?

Which of the following gives the proper relation of Tall men ,Black haired people ,Indians?

If A=[{:(,1,4),(,2,1):}], B=[{:(,-3,2),(,4,0):}] and C=[{:(,1,0),(,0,2):}] simplify : A^2+BC.

Which term of the A.P. : 3, 8, 13, 18,........... Is 78 ?

Solve the following pair of linear equations graphically : x+3y=6" and "2x-3y=12. Also find the area of the triangle formed by the lines representing the given equation, with y-axis.

Find the slope of the line passing through the given two point (4, -8) and (5, -2)

If the diameter and height of a right circular cone are 12 cm and 8 cm respectively, then the slant height is ……….

Is it right to say that sin (A+B) =sin A +sin B ?Justify your answer.

Use graph paper for this question. The points A(2, 3), B(4, 5) and C(7, 2) are the vertices of DeltaABC Write down the co-ordinates of A", B", C" if Delta A''B" C" is the image of DeltaABC , when reflected in the x-axis.

Use graph paper for this question. The points A(2, 3), B(4, 5) and C(7, 2) are the vertices of DeltaABC Write down the co-ordinates of A', B', C'if Delta A' B' C' is the image of DeltaABC , when reflected in the origin.

The radius of the base of a cone and the radius of a sphere are the same, each being 8 cm. Given that the volumes of these two solids are also the same, calculate the slant height of the cone.

An arithmetic progression 5, 12, 19,..., has 50 terms. Find its last term. Hence find the sum of its last 15 terms

Kavya bought 300, Rs. 50 shares paying a dividend of 8%. If she sold them when the price rose to Rs. 90 and invested the proceeds in 10%, Rs. 50 shares at Rs. 30, then find the change in her annual income.

The total surface area of a cylinder whose radius is (1)/(3) of its height is

5 pencils and 7 pens together cost Rs. 50 where as 7 pencils and 5 pens together cost Rs. 46. Find the cost of one pencil and that of one pen.

A dealer has given 10% discount on a showpiece of 25,000. GST of 28% was charged on the discounted price. Find the total amount shown in the tax invoice. What is the amount of CGST and SGST.

A girl of height 90 cm is walking away from the base of a lamp post at a speed of 1.2 m/s. If the lamp is 3.6 m above the ground find the length of her shadow after 4 seconds.

Find the common zeroes of the polynomialsx^(3)+x^(2)-2x-2 and x^(3)-x^(2)-2x+2.

Solve for x : 4(x-(1)/(x))^(2)+8(x+(1)/(x))=29. x ne 0.

Find the area of circle that can be inscribed in a square of square of side 10 cm .

If [{:(,a,3),(,4,1):}]+[{:(,2,b),(,1,-2):}]-[{:(,1,1),(,-2,c):}] =[{:(,5,0),(,7,3):}] find the values of a,b and c.

Use a graph paper for this question. (Take 2 cm = 1 unit on both x and y axes) Reflect points B(2,3), C(1,1), D(2,0) on the y-axis and write down their coordinates. Name the images as B', C', D' respectively.

If the distance between two points (x, 7) and (1, 15) is 10, find the value of x

Solve the following pair of linear equations graphically :2x+3y=12 and x-y=1. Find the area of the region bounded by the two lines representing he above equations and Y - axis.

If 3 tan A =4 ,then find sin A and cos A

A man has 300, 50rs shares of a company paying 20% dividend. Find his net income after paying 3% income tax.

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

From a point on the ground40 m away from the foot of a tower, the angle of elevation of the top of thetower is 30^(@). The angle of elevation of

Solve the equation: 1 + 4 + 7 + 10 + ... + x = 287