Home
Class 12
MATHS
The value of p and q for which the funct...

The value of p and q for which the function `f(x)""={(sin(p+1)x+sinx)/x , x<0q , x=0(sqrt(x+x^2)-sqrt(x))/(x^(3//2)), x >0}` is continuous for all x in R, are: (1) `p=1/2, q=-3/2` (2) `p=5/2, q=-1/2` (2) `p=-3/2, q=1/2` (4) `p=1/2, q=3/2`

A

`p=(1)/(2) , q=(3)/(2)`

B

`p=(1)/(2),q=-(3)/(2)`

C

`p=(5)/(2),q=(1)/(2)`

D

`p=-(3)/(2), q=(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The value of p and q for which the function f(x)""={(sin(p+1)x+sinx)/x , x 0} is continuous for all x in R, are: (1) p=1/2, q=-3/2 (2) p=5/2, q=-1/2 (2) p=-3/2, q=1/2 (4) p=1/2, q=3/2

Find the values of p and q , for which f(x)={(1-sin^3x)/(3cos^2x)p(q(1-sinx)/((pi-2x)^2),ifx (pipi)/2 is continuous at x=pi/2dot

The value of p and q for which the function f(x) = {((sin(p+1)x+sinx)/(x), ",",x lt 0),(q, ",", x = 0),((sqrt(x+x^(2))-sqrt(x))/(x^(3//2)), ",", x gt 0 ):} is continuous for all x in R, are

If p and q are the roots of the equation x^2-p x+q=0 , then p=1,\ q=-2 (b) b=0,\ q=1 (c) p=-2,\ q=0 (d) p=-2,\ q=1

If 2x+1=15;3y-2=16 if x=p(mod 5),y=q(mod 5) then the value of p, q are (i) p=2,q=3 (ii) p=2,q=1 (iii) p=3,q=2 (iv) p=4,q=1

" 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 "

If range of function f(x)=sin^(-1)x+2tan^(-1)x+x^(2)+4x+1 is [p,q], then the value of (p+q) is