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Maths | AP Board | Grade 10 | 2015
Q. If A={3, 6, 9, 12, 15, 18, 21};B={4, 8, 12, 16, 20}
C={2, 4, 6, 8, 10, 12, 14, 16};D={5, 10, 15, 20}; find
(i) AB (ii) BA (iii) CA (iv) DA
(v) BC (vi) BD (vii) CB (viii) DB
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Q. Expand log15.
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Q. If p(t)=t31, find the values of p(1), p(2).
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Q. For what value of k, the pair of equations 3x+4y+2=0 and 9x+12y+k=0 represent co-incident lines.
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Q. If P(E)=0.05, what is the probability of "not E"?
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Q. Find a quadratic polynomial, the sum and product of whose zeroes are 14, 1 respectively
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Q. Write roster and set builder form of "The set of all natural numbers, which divide 42".
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Q. Length of the shadow of a 15 meter high pole is 53 meters at 7'o clock in the morning. Then what is the angle of elevation of the Sun rays with the ground at that time?
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Q. Formulate a pair of linear equations in two variables "5 pencils and 7 pens together cost Rs. 50, whereas 7 pencils and 5 pens together cost Rs. 46".
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Q. Find L.C.M. and H.C.F. of 72 and 108 by the prime factorization method.
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Q. Find the roots of equation 2x2x4=0 by the method of completing the square.
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Q. If cos7A=sin(A6o), where 7A is an acute angle. Find the value of A.
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Q. Find the mean of the following data:
5, 6, 9, 10, 6, 12, 3, 6, 11, 10.
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Q. Find two numbers, whose sum is 27 and product is 182.
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Q. Verify that 1, 1 and 3 are the zeroes of the cubic polynomial x3+3x2x3 and check the relationship between zeroes and co-efficients.
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Q. Find the co-ordinates of a point A, where AB is the diameter of a circle, whose centre is (2, 3) and B is (1, 4).
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Q. A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be
(i) red, (ii) white, (iii) not green?
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Q. Calculate the length of tangent from a point 15 cm away from the centre of a circle of radius 9 cm.
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Q. A fraction becomes 45 if 1 is added to both numerator and denominator. If, however, 5 is subtracted from both numerator and denominator, the fraction becomes 12. What is the fraction?
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Q. Prove that 5 is irrational by the method of Contradiction.
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Q. Find the total surface area of a hemisphere of radius 3.5 cm.
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Q. Solve the equations
5x1+1y2=2 and 6x13y2=1
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Q. If b24ac0, then write the nature of roots of a quadratic equation ax2+bx+c=0.
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Q. Prove that "The lengths of tangents drawn from an external point to a Circle are equal".
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Q. Find the area of the triangle, whose vertices are (5, 1), (3, 5), (5, 2).
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Q. Write the formula for the sum of first n positive integers.
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Q. The curved surface area of a cone is 4070 cm2 and its diameter is 70 cm. What is its slant height (in cm)?
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Q. In a flower bed, there are 23 rose plants in the first row, 21 in the second row, 19 in the third row, and so on. There are 5 rose plants in the last row. How many rows are there in the flower bed?
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Q. Prove that the points (7, 3), (5, 10), (15, 8) and (3, 5) taken in order are the vertices of a parallelogram.
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Q. If V={a, e, i, o, u} and B={a, i, k, u}, then find VB and BV. Are they equal?
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