1) How many 4 digit square numbers exist such that after increasing each digit by 1 we get another square number?
2)3 points lie in the x-y plane such that coordinates are (0,0),(6,0),(2^1/2,3).Find the largest side of the square inscribed in it such that the 2 vertices's of square lie on AB(x-axis).
3)A circuit diagram is drawn with 1 ohm resistance lying along the sides of a cube and a 10v battery is connected to it. Find the current in the circuit.
4)A light ray is sent from vertex A of a square making an angle "theta" with the side AB. The ray after being reflected from side BC,CD,DA passes through vertex B. Find sin"theta".
To Shikhar and Ananth,
Anybody solving all 4 correctly deserves a treat from me.
If you have any confusion regarding any question please comment.
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5 comments:
Nobody with the answers?
done 1 and 4......
am trying 2nd ........
3rd as u say is above level.
done 2nd too.
and answer is 2. used similarity.....
amazing thign is the question canb e changed to the coordinates being (0,0) (6,0) and (x,3) coz the answer doesnt depend on x
why? area b/w 2 parallel sides is always the same.
The area of the triangle will be the same but i doubt on the side of the square.
And moreover its a definite answer. I dont quite understand the logic how you got a cubic equation. Mine was a simple linear equation.
No man there was no cubic just a silly mistake. thats why i deleted that post.
and the way i get 2 is only dependent on the area and thats y i keep getting 2 as the answer for all values of x. in(x,3).
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