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Insert three rational numbers between (3)/(5) and (2)/(3)

Write the coefficients of x^(2) in each of the following : 2 + x^(2) + x

Find the total surface area of a cylinder with radius 21 cm and height 5 cm.

The mid-values of the class-intervals of a frequency distribution are respectively 11,14,17,20…… The class interval of which the mid-value is 17is

An overhead water tanker is in the shape of a cylinder has capacity of 61.6 cu.mts. The diameter of the tank is 5.6 m. Find the height of the tank.

The following table given the marks scored by 50 students in a 100 marks test of Mathematics. {:("Marks",0-20,20-40,40-60,60-80),("No of "3,12,18,10,7),("students",,,,):} A student is selected randomly from the class. Find the probability that selected student has scored 60 or more than 60 marks.

What length of tarpaulin 3 m wide will be required tomake conical tent of height 8 m and base radius 6 m? Assume that the extralength of material that will be required for stitching margins and wastage incutting is approximately 20 cm

Find the zero of each of the following polynomials : p(y) = 11y-44

Express the following in terms of angles between 0^(@) and 45^(@) cos 74^(@)+sec 67^(@)

Factorisey ^(3) + y ^(2) -y -1

Nikhil opened a recurring deposit account with The state bank of india for 3 year.The bank paid him Rs 20200 on maturity .If the rate of intest is 8% per annum then the amount that nikhil deposited per month is __________

Find the remainder when x ^(3) - px ^(2) + 6x -p is divided by x -p.

Find the value of sqrt5 upto 3 decimal places.

State whether the following statements are true or false. Justify your answers. (i) Every irrational number is a real number.

Construct triangleABC, whose perimeter is 10 cm and base angles are 60^(@) and 44^(@).

If sin3A=1 and 0 le A le 90^(@), find : sin A

Classify the following polynomials into linear quadratic and cubic polynomials : 2x^(2) + 11x - 9

Classify the following numbers as rational or irrational. (2+sqrt2)(2-sqrt2)

Factorise : 64 x^(2) - 81y^(2)

Examine, whether the following numbers are rational or irrational : (sqrt2+2)^(5)

Find p(0), p(1) and p(2) for each of the following polynomials : p(x) = (x-1)(x+1)

What do you mean bytransitivity law?

How many litres of milk can a hemispherical bowl of diameter 10.5 cm . Hold ?

In the given figure CE || DB then value of x^(@) is. . . . . . . . .

Write the following cubes in expanded form : (2x+1)^(3)

Classify the following as linear, quadratic and cubic polynomials (i) 5x ^(2) + x-7 (ii) x -x ^(3) (iii) x ^(2) + x + 4 (iv) x -1 (v) 3p (vi) pi r ^(2)

……….. should be substracted from x^(3) + 3x^(2) + 2x + 10, so that the result is exactly divisible by (x+3).

Factorise x ^(3) - 23 x ^(2) + 142 x -120

In triangleABC,E and F are mid-points od sides AB and AC respectively. If BF and CE intersect each other at point O, prove that the DeltaOBC and quadrilateral AEOF are equal in area.

(110)^(3) = ………..

Express the following numbers in the form (p)/(q) where p and q are integers and q != 0.(i) 0.0875(ii) 2.123456789(iii) 0.181818…..(iv) 0.437(v) .651

Examine whether x +2 is a factor of x ^(3) + 2x ^(2) + 3x +6

Evaluate each of the following using suitable identities : (999)^(3)

An equilateral triangle if its altitude is 3.2 cm.

Express the following rational numbers in decimal form. (2)/(3)

If angleACD is an exterior angle of DeltaABC. If angleACD=110^(@) and angleA=60^(@), then angleB= ..........,

The radius of a cylindrical roller is 140 cm and its length is 100 cm. It takes 500 complete revolutions to level a playground completely. Find the area of playground in m^(2).

The simple interest on a sum of money for 2 years at 4% per annum is Rs 340. Find : the compound intersect on this sum for one year payble half-hearly at the same rate.

Factories (i) 25 x ^(2) + 16 y ^(2) + 4z ^(2) - 40 xy + 16 yz - 20xz (ii) 9a ^(2) + 4b ^(2) + 16 c ^(2) + 12 ab - 16 bc - 24 ca

State True or False, if 'false' write correct statement. (-5,-8) lies in the fourth quadrant.

Compute the interest till the end of december at the rate of 4% per annum approximately

Represent sqrt(9.37) on the number line.

find the arithmetic mean of the following data.

Find the capacity in litres of a conical vessel with(i) radius 7 cm, slant height 25 cm (ii) height 12 cm,slant height 13 cm

An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.

A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of Rs. 498.96. If the cost of white washing is Rs. 2.00 per square metre, find the (i) inside surface area of the dome. (ii) volume of the air inside the dome.

When an unbiased coin is tossed thrice , the probability of receiving three heads is .......

Solve the following equations for A, if : sqrt(3)tanA=1

Find the radius of a sphere whose surface area is 616 cm^(2).

If the angle of elevation of the Sun is 30^@, then the length of the shadow of a vertical pole of length h metre is?