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Let f:R rarr R be twice continuously differentiable.Let f(0)=f(1)=f'(0)=0 Then

Let phi:[0,1]rarr[0,1] be a continuous and one-one function.Let phi(0)=0,phi(1)=1,phi((1)/(2))=p and phi((1)/(4))=q then

Let phi:[0,1]->[0,1] be a continuous and one-one function. Let phi(0)=0,phi(1)=1,phi(1/2)=p and phi(1/4)=q then

Let f(x) = (x+|x|)/x for x ne 0 and let f (0) = 0, Is f continuous at 0?

Let 0-=(0,0),A-=(0,4),B-=(6,0)* Let P be a moving point such that the area of triangle triangle POA is two xx the area of triangle POB. The locus of P will be a straight line whose equation can be