How did we get that "point"?

[SINGHAM]

The distance of the curve, y=x^2 , from the straight line  2x-y=4 is minimum at the point (1,1).

I can find out that x=1, but how did we get y=1 ? can't y=0, too?

[SINGHAM]

Can someone answer me question 28 of math here please!

[SINGHAM]

Also, please help me with this: this

[The Villain]

@Singham
for the ditance quest..
use perpendicular distance formula which is
d=(ax+by+c)/sqr root a^2 + b^2
nw take pt as x1,y1 and substitute for y as = y1=x1^2
minimising d we get x1=1
therfore y1=1

[RajEco]

@ron.
How do we proceed next ?

[SINGHAM]

Thank you Ron!

Can you please solve this:


 This one is impossible for me to solve!Answer is D

[SINGHAM]

The number of positive pairs of integral values of (x, y) that solves 2xy-4x^2+12x-5y=11 is 2. How are we guaranteed that it is only two and no more?

[The Villain]

Take exponential and write it like e^{ 1/
x^2[sinx-x]/x}
 use sinx series
sinx= x-x^3/6+.....

I hpe this is the way...cant find a better alternative

[SINGHAM]

OK

[SINGHAM]

A surveyor found that in a society of 10,000 adult literates 21% completed college
education, 42% completed university education and remaining 37% completed only
school education. Of those who went to college 61% reads newspapers regularly,
35% of those who went to the university and 70% of those who completed only
school education are regular readers of newspapers. Then the percentage of those who
read newspapers regularly completed only school education is .......

What is the question? Please explain! I can't understand what does "the percentage of those who
read newspapers regularly completed only school education is" mean.

[Arushi :))]

I think its a question of conditional probability
where in you have  to find probability of those who read newspapers regularly given that they completed only school education