.If x = 222, y = 223, z = 225 then the value of $x^{3}+y^{3}+z^{3}-3xyz$ is1). 45902). 46903). 49504). 4960
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1. The distance between centres of two circles of radii 3 cm and 8 cm is 13 cm. If the points of contact of a direct common tangent to the circles are P and Q, then the length of the line segment PQ is:
2. What is the value of a - b when a2 + b2 - 6a - 6b + 18 = 0?
3. When 70 is subtracted from 25% of a number, the result is 20. What is the value of the number?
4. Number obtained by interchanging the digits of a two digit number is less than the original number by 54, and the sum of the digit if 8. What is original two digit number?
5. If (a + b)2 – 2(a + b) = 80 and ab = 16, then what can be the value of 3a – 19b?
6. Direction: In the following question, two equations numbered I and II are given. You have to solve both the equations and give the answer. I. 12x2 + 29x + 14 = 0 II. 3y2 + 14y + 16 = 0
7. Let P and Q be two points on a circle with centre O. If two tangents of the circle through P and Q meet at A with $\angle PAQ$ = $48^{0}$ , then $\angle APQ$ is
8. In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer. I. x2 – 60x + 900 = 0 II. y2 – 24y + 143 = 0
9. In the following question two equations are given in variables ‘x’ and ‘y’. On the basis of these equations you have to decide the relation between ‘x’ and ‘y’ and give answer. I. (x + y)3 = 1331 II. xy = 28
10. In each of these question two equations I & II with variables a & b are given You have to solve both the equations to find the values of a & b Mark answer if a) a<b b) $$a\leq b$$ c) relationship between a & b cannot be established d) a>b e) $$a\geq b$$
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