Andhra Pradesh Board Maths Sample Paper
Andhra Pradesh Board Maths Sample Paper
SECTION - A
I. Very short answer questions 10 x 2 = 20 Marks (Attempt all questions) (each question carries
`Two' marks)
05. Sketch the graph of sin x in (0, 2)
06. Find the value of cos245-sin215
07. Show that cos h (3x) = 4 cos h3 X - 3 cos hx.
08. If c2=a2+b2, write the value of 4 s(s-a) (s-b) (s-c) in terms of a and b.
09. Simplify (cos
- isin )
7 / (sin2q - iCos2 )
4
10. Expand cos 4
in powers of cos
.............
I. Very Short Answer Questions and Attempt all Questions.
1. If a and b are the roots of the equation 2x2 + 3y2 + 6 = 0 find the quadratic equation whose roots are
a3 and b3
2. If the roots of the equation x3 - 3x2 - 6x + 8 = 0 are in A.P. find them.
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3. Ifn P4 = 1680 find `n'.
4. If21 21C2r+1=21Cr-4 find `r'.
5. If a card is drawn at random from a pack of cards, what is the probability that it is an ace or a
diamond.
6. In a Binominal distribution if the sum of the mean and the variance is 1.8 find the distribution when
n = 5.
Section - B
II. Short Answer Questions
6. Sum the series log3e - log9e + log27e - log81e + ...........
7. If two numbers are selected randomly from 20 consecutive natural numbers find the probability that
the sum of the two numbers is
(i) an even number
(ii) an odd number.
Section - C
II. Long Answer Questions.
8. Solve x3 - 18x - 35 = 0 by using Cardan's method.
9. Find the number of ways of selecting 11 members for a cricket team from 7 batsmen, 5 bowlers and
3 wicket keepers having atleast 3 bowlers and 2 wicket keepers.
10. Solve by Gauss-Jordan method, the system of equations :
x + y + z = 6
2x + 3y - z = 3
3x + 5y + 2z = 19
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