Let y=f(x) be an even function. If f^(pr...

Let `y=f(x)` be an even function. If `f^(prime)(2)=-sqrt(3)` , then the inclination of the tangent to the curve `y=f(x)` at `x=-2` with the positive direction of the axis is: (A)`pi/6` (B) `(pi^2)/3` (C)`(2pi^)/3` (D) none of these

Text Solution

AI Generated Solution

Topper's Solved these Questions

JEE MAIN
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
LIMITS AND DERIVATIVES
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

Let f :[0,2pi] to [-3, 3] be a given function defined at f (x) = 3cos ""(x)/(2). The slope of the tangent to the curve y = f^(-1) (x) at the point where the curve crosses the y-axis is:

Let f(x)= sinx - tanx, x in (0, pi//2) then tangent drawn to the curve y= f(x) at any point will

The angle between the tangents to the curve y=x^2-5x+6 at the point (2, 0) and (3, 0) is (a) pi/2 (b) pi/3 (c) pi (d) pi/4

The angle between the tangents to the curve y=x^2-5x+6 at the point (2, 0) and (3, 0) is pi/2 (b) pi/3 (c) pi (d) pi/4

The line tangent to the curves y^3-x^2y+5y-2x=0 and x^2-x^3y^2+5x+2y=0 at the origin intersect at an angle theta equal to (a) pi/6 (b) pi/4 (c) pi/3 (d) pi/2

The value of c in Lagranges theorem for the function f(x)=logsinx in the interval [pi/6,(5pi)/6] is (a) pi/4 (b) pi/2 (c) (2pi)/3 (d) none of these

Let f(x) = tan x, x in (-pi/2,pi/2)and g(x) = sqrt(1-x^2) then g(f(x)) is

If f(x)=sin^(-1)cosx , then the value of f(10)+f^(prime)(10) is (a) 11-(pi)/2 (b) (pi)/2-11 (c) (5pi)/2-11 (d) none of these

Area enclosed between the curves |y|=1-x^2 and x^2+y^2=1 is (a) (3pi-8)/3 (b) (pi-8)/3 (c) (2pi-8)/3 (d) None of these

If the line xcostheta=2 is the equation of a transverse common tangent to the circles x^2+y^2=4 and x^2+y^2-6sqrt(3)x-6y+20=0 , then the value of theta is (5pi)/6 (b) (2pi)/3 (c) pi/3 (d) pi/6

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions

Area bounded by the curve y=sqrt(sin[x]+[sinx]),(w h e r e[dot] is gre...
Text Solution
|
Let vec r=( vec axx vec b)sinx+( vec bxx vec c)cosy+2( vec cxx vec a),...
Text Solution
|
Let y=f(x) be an even function. If f^(prime)(2)=-sqrt(3) , then the in...
Text Solution
|
If positive numbers a ,b ,c are in H.P., then equation x^2-k x+2b^(10...
Text Solution
|
The digit in the unit place of the number (183)!+3^183 is
Text Solution
|
The equation of diameter of a circle passing through origin is x+y=1 a...
Text Solution
|
Mutually perpendicular tangents TA and TB are drawn to y^2=4a x . Then...
Text Solution
|
How many three digit numbers are there which are divisible by 5 as ...
Text Solution
|
In a set of five games in between two players A and B, the probabil...
Text Solution
|
Find the number of numbers of five digits that can be made with the ...
Text Solution
|
In A B C ,(a b-r1r2)/(r3),w h e r ea ,b ,r1r2, r3, Ra n dr have usual ...
Text Solution
|
The exhaustive set of values of a such that, x^2+a x+sin^(-1)(x^2-4x+5...
Text Solution
|
The distance of point (-1, -5, -10) from the plane 10 x+2y-z=0 measure...
Text Solution
|
Q. Let z1 and z2 be nth roots of unity which subtend a right angle at...
Text Solution
|
z1a n dz2 lie on a circle with center at the origin. The point of inte...
Text Solution
|
Given the following simultaneous equation for vectors vec x and vec y...
Text Solution
|
In triangle ABC, if cosA+2cosB+cosC=2,t h e na ,b ,c are in (A) A.P. (...
Text Solution
|
In [0, 1] the Lagrange's Mean Value Theorem is not applicable to: (a) ...
Text Solution
|
If the normal to the rectangular hyperbola x y=c^2 at the point (c t ,...
Text Solution
|
The number of values of x where the function f(x)=cosx+cos(sqrt(2)x) a...
Text Solution
|