For the following questions answer them individually
- If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the mid points of
the diagonals of the trapezium, then length of MN is
- ΔABC is isosceles having AB = AC and $$ \angle A $$ = $$40^\circ$$. Bisectors PO and OQ of the exterior angles $$ \angle ABD $$and $$ \angle A CE $$ formed by producing BC on both sides, meet at O. Then the value of $$ \angle BOC $$ is
An equilateral triangle of side 6 cm is inscribed in a circle. Then radius of the circle is
In a circle with centre O, AB is a diameter and CD is a chord which is equal to the radius OC. AC and BD are extended in such a way that they intersect each other at a point P, exterior to the circle. The measure of $$ \angle APB $$ is
Two chords AB and CD of a circle with centre O intersect at P. If $$\angle APC$$ = $$40^\circ$$. Then the value of $$\angle AOC$$Â + $$\angle BOD $$Â is
- If x tan $$60^\circ$$ + cos $$45^\circ$$ = sec $$45^\circ$$ then the value of $$x^{2}$$ + 1 is
x, y be two acute angles, x + y < $$90^\circ$$ and sin(2x -$$20^\circ$$) = cos(2y + $$20^\circ$$), the value of tan(x + y) is
If $$a^{2}sec^{2} x-b^{2} tan^{2} x$$=$$c^{2}$$ then the value of $$sec^{2} x+tan^{2} x $$ is equal to ($$ b^{2} \neq  a^{2}$$)
-(1 + sec $$20^\circ$$ + cot $$70^\circ$$)(1 - cosec $$20^\circ$$ + tan$$70^\circ$$) is equal to
 If $$tan ^4\theta + tan^2\theta$$ = 1 then the value of $$cos^4\theta + cos^2\theta$$ is
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