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Find the middle term of AP : 10, 7, 4, ...... , -62.

A dice is rolled two times or two dice are rolled together. Find the probability of getting: a prime number on each dice.

Curved surface area of right circular cylinder is 440cm^(2) and the radius of its circular base is 7 cm. Find the volume of the cylinder.

Which of the following sets are equal? A={x : x is a letter in the word FOLLOW}, B={x : x is a letter in the word FLOW} and C={x : x is a letter in the word WOLF}

Write down the geometrical name of the figure AA'BB'.

The radius and height of a cone are in the ratio 3: 4 If its volume is 301. 44cm ^(3)find : (1)its radius (ii)its slant height.

A solid metal sphere is cut through its centre into 2 equal parts. If the diameter of the sphere is 3 (1)/(2)cm, find the total surface area of each part correct to two decimal places.

Use Euclid's algorithm to find the HCF of 900 and 270

Evaluate (tan 36^(@) )/( cot 54^(@))

Two poles of heights 6 m and 12 m stand on a plane ground. If the distance between the feet of the poles is 8 m, find the distance between their tops.

If I is the unit matrix of order 2 xx 2 find the matrix M, such that (i) M-2I=3 [{:(,-1,0),(,4,1):}] (ii) 5M+3I=4[{:(,2,-5),(,0,-3):}]

Points A and B have co-ordinates (3, 4) and (0, 2) respectively. Find the image : B" of B under reflection in the x-axis ".

Points A and B have co-ordinates (3, 4) and (0, 2) respectively. Find the image : B' of B under reflection in the line AA'.

If m and n are the coeficients of x^(a^(2)) and x^(b^(2)) respectively in (1+x)^(a^(2)+b^(2)), then relation between m and n is ____________

How many silver coins, 1.75 cm in diameter and thickness 2 mm, need to be melted to form a cuboid of dimensions 5.5 cm xx 10 cm xx 3.5 cm?

Which of the following is a common solutions for 6x -= 0 (mod 8) and 8x -= 0 (mod 10) ?

Solve the following pair of equations graphically :2x+3y=12, x-y-1=0.Shade the region between the two lines represented by the above equations and the X - axis.

Find the coordinates of centroid of the triangle with vertices: (6, 2), (0, 0) and (4, -7)

A metallic spherical shell of internal and external diameters 4 cm and 8 cm respectively , is melted and recast into the form of a cone of base diameter 8 cm . The capacity of the capsule is

(2 tan 30^(@))/( 1-tan ^(2) 30^(@)) =(a) cos60(b) sin60(c) tan60(d) sin30

Find perimeter of square whose diagonal is 12sqrt2.

Find the 30th term of the sequence: 1/2 , 1, 3/2,….

Complete the sequence b - ac - c c - cb - ab - ac

Draw a circle of radius 3 cm. Mark a point P at a distance of 5 cm from the centre of the circle drawn. Draw two tangents PA and PB to the given circle and measure the length of each tangent.

Diameter of a right circular cylinder is 12cm and hight is 21cm,find its lateral surface.

A iron pillar consists of a cylindrical portion of 2.8 m height and 20 cm in diameter and a cone of 42 cm height sumounting it. Find the weight of the pillar if 1 cm^3 of iron weights 7.5 g.

Find 'a' if the two polynomials ax^(3)+3x^(2)-9and2x^(3)+4x+a, leaves the same remainder when divided by x + 3.

The maximum number of tangents that can be drawn to a circle from a point outside it is…………

Find x and y if: (i) 3[(4),(x)] +2[(y),(-3)]=[(10),( 0)] (ii) x [{:(,-1),(,2):}] -4[{:(,-2),(,-y):}]=[{:(,7),(,-8):}]

Find the 20th term from the end of the AP:3, 8, 13, ..., 253.

Prove that secA(1-sinA)(secA+tanA)=1.

Find the values of the sqrt(19) by geometric method .

A coin is tossed twice and the outcome is noted everytime. The head must come once is two tosses.

A fraction becomes (1)/(3) when 1 is subtracted from the numerator and it becomes (1)/(4) when 8 is added to its denominator. Find the fraction.

Find the roots of the following quadratic equations, if they exist. x^(2)+5=-6x

The point P(x, y) is first reflected in the x-axis and then reflected in the origin to P'. If P' has co-ordinates (-8, 5), evaluate x and y.

P, Q, R and S are sitting around a circle facing at the centre. Who is to the immediate right of Q? I. R is between P and S. II. S is to the immediate right of R.

Find the roots of the following quadratic equations, if they exist. 2x^(2)+x-4=0

AB and CD are respectively arcs of two concentric circles of radii 21 cm and7 cm . With centre O (See figure ). If angleAOB=30^(@),find the area of the shaded region .(usepi=(22)/(7))

Points (4,0) and (-3,0)are invarient pointsunder reflectionin line L_1 , point (0,5)and (0,-2)are invarientunder reflection in line L_2. Write P' . The reflectionof P(6,-8) " in "L_1 and P''the image of P " in "L_2.

Points (4,0) and (-3,0)are invarient pointsunder reflectionin line L_1 , point (0,5)and (0,-2)are invarientunder reflection in line L_2. Name andwrite the equationof linesL_1 and L_2.

IF DeltaPQR~DeltaXYZ, then write ratiosof corresponding sides.

If f(x) =((4x+3))/((6x+4)), x ne (2)/(3) " then " (f o f) (x) = ?

A solid iron pole having cylindrical portion 110cm high and of basediameter 12cm is surmounted by a cone 9cm high Find the mass of the pole,given that the mass of 1c m^3of iron is 8gmdot

Evaluate sin 60^(@) cos 30 ^(@) -sin 30^(@) cos 60 ^(@) , What is the value ofsin (60^(@) -30 ^(@) )What can you conclude ?

Complete the sequence - ac ca - c c ca- ac c c c - aaa

If the sum of 1+2+2^(2)+ . . . . . . . . . .+2^(n-1) is 255, find the value of n.

A point P is reflected in the x-axis. Co-ordinates of its image are (-4, 5). Find the co-ordinates of P.