Maths | AP Board | Grade 12 | 2016
Q. Find the area of the triangle formed by joining the mid points of the sides of the triangle, whose vertices are (0, 1);(2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle
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Q. Find the number of terms in the following A.P. 7, 13, 19, ...., 205
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Q. If 52160=132n×5m, then m+n= ______
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Q. Find the area of the triangle, whose vertices are (2, 0), (1, 2), (1, 6). What do you observe?
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Q. Draw the Venn diagrams of the sets (AB), (BA)
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Q. A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding (i) Minor segment, (ii) Major segment. (use π=3.14)
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Q. Find a quadratic polynomial, if the zeroes of it are 2 and 1 respectively.
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Q. Find the roots of the equation 2x2+x6=0 by factorisation.
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Q. Solve the pair of equations by Elimination method.
2x+y5=0, 3x2y4=0
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Q. Solve the equations
10x+y+2xy=4, 15x+y5xy=2
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Q.

The distribution below gives the weights of 30 students of a class. Find the median weight of the students.

Weight(in Kgs)4045455050555560606565707075Number of students2386632

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Q. Expand log343125
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Q. Solve the following equations graphically.
3xy=7,
2x+3y=1
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Q. Find the common ratio of G.P.
2, 22, 4, ....
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Q. 10 students of class X took part in a mathematics quiz. If the number of girls is four more than the number of boys, then find the number of boys and the number of girls who took part in the quiz
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Q. Decimal form of 3623×53 value is ________
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Q. If p(x)=x25x6; find the value of p(3)
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Q. L.C.M. and H.C.F. of two numbers are 108 and 9 respectively. If one of the two numbers is 54, then the other number is _______
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Q. Find the mid point of the line segment joining the points (2, 7) and (12, 7)
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Q. If A={1, 2, 3, 4}, B={1, 2, 3, 5, 6}, then find
(i) AB, (ii) BA, (iii) AB, (iv) BA.
What do you observe?
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Q. If the sum of the first 7 terms of an A.P. is 49 and that of 17 terms is 289; find the sum of the first n terms
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Q. If log2x=3, then x= ______
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Q. Show that (53) is irrational.
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Q. Solve the quadratic equation 2x2+x4=0 by completing the square
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Q. Find the zeroes of the polynomial p(x)=x24x+3 and verify the relationship between zeroes and coefficients
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Q. Write the following set {x:x=2n+1 and nN} in roster form
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Q. List all the subsets of the following set B={p, q}
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Q. Find the value of log813
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Q. Draw the graph of p(x)=x2+3x4 and find zeroes.
Verify the zeroes of the polynomials
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Q. Find the coordinates of the point, which divides the join of (1, 7) and (4, 3) in the ratio 2:3
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