Andhra Pradesh Board Class 10 Math Previous Year Question Papers 2011

Andhra Pradesh Board
Class 10

Max. Marks : 100

SECTION - A
1. Sketch the graph of sin x in (0, 2π)

2. Find the value of cos245°-sin215°

3. Show that cos h (3x) = 4 cos h3 X - 3 cos hx.

4. If c2=a2+b2, write the value of 4 s(s-a) (s-b) (s-c) in terms of a and b.

5. Simplify   (cos ө - isin ө)7 / (sin2q - iCos2ө)4

6. Expand cos 4 ө in powers of cos ө .............

7.Show that cos h (3x) = 4 cos h X - 3 cos hx.

8.If c =a +b , write the value of 4 s(s-a) (s-b) (s-c) in terms of a and b.

9.Expand cos 4θ in powers of cosθ

10.f : A u B,g : B u C; f = {(I, a), (2, c), (4, d), (3, d)}
and g-1 = {(2,a), (4, b), (1, c), (3, d)} then compute (gof)-1 and f-1 og-1

11.Find the cube root of 37-30 N3.
If x = 1 + loga bc, y = 1 +Iogb ca and z = 1 + logc ab, then show that xyz = xy+yz+zx.

12.Find the area:of the triangle formed with the points A(1, 2, 3), B (2, 3,
        1) and C (3, 1, 2) by vector method.

13.Find the solution set of the equation 1 + sin2θ =3 sinθ cosθ

14.If f : A u B and g : B u C are bijections,then prove that gof : A u C is also bijection.

15.Using the principle of Mathematical induction show that
        12 + (12 + 22) + (12 + 22 + 32) + .... upto n terms

16.prove that (a x b) x c = (a .c) b - (b . c ) a

17.If A + B + C = 180°, then show that Time: 3 Hours
sin 2A - sin 2B + sin2C = 4 cos A sin B cos C

18.One end of the ladder is incontact ‘with a wall and another end is in contact with the level ground making an angle ‘α’. When the foot of the ladder is moved to a distance ‘a’ cms, the end in contact with the wall slides through ‘b’ cms. and the angle made by the ladder with the level ground is now ‘β’, show that
a = b tan(2( α + β)2)

19.Reduce the complex numbers 3 + 4 i, to x+iy form. Show that the four 3 (7+i) (1+i), 2(i -- 18) 5 (i -- 3)4(1+i)2 ‘ 1 + i
points represented by these complex numbers form a square in the

20.Find the orthocentre of the triangle whose vertices are (5,-2), (-1,2)
and (1,4)