" If the function "f(x)=[[x^(2)+px+1,,x in Q],[px^(2)+2x+q,,x in Q]" is continuous at "x=1" and "x=2," then "(p+q)" is equal to "

The function f(x)={2x+1,x in Q and x^(2)-2x+5,x in Q

Proved that: f(x)=[x\ if\ x in Q1-x\ if\ x !in Q\ is continuous only at x=1//2.

If the function g(x) {{:((e^(px) + log _(e) (1+4x)+q)/(x^(3))","x ne 0),(r"," x=0):} continuous at x=0 , then find the values of p,q and r.

If x^(2) - 3x + 2 is factor of x^(4) - px^(2) + q then 2q - p is equal to

If (x-3) is the HCF of x^(3) - 2x^(2) +px + 6 and x^(2) - 5x +q, find 6p +5q

If f(x) {:(=px-q", if " x le 1 ),(= 3x ", if " 1 lt x lt 2 ), (= qx^(2)-p ", if " x ge 2 ):} is continuous at x = 1 and dicontinuous at x = 2 , then

f(x)={[(srt(1+px)-sqrt(1-px))/x,-1<=x<0],[(2x+1)/(x-2),0<=x<=1]}is continuous in the interval [-1, 1], then 'p' is equal to:,0