If x, y, z are in A.P. and tan^(-1) x, t...

If x, y, z are in A.P. and `tan^(-1) x, tan^(-1) y and tan^(-1)z` are also in A.P. then

A

x=y=z

B

2x=3y=6z

C

6x=3y=2z

D

6x=4y=3z

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

INVERSE TRIGONOMETIC FUNCTIONS
DISHA PUBLICATION|Exercise EXERCISE - 1: (CONCEPT BUILDER)|60 Videos
INTEGRALS
DISHA PUBLICATION|Exercise EXERCISE-2 CONCEPT APPLICATOR|31 Videos
JEE MAIN - 2019 (HELD ON: 9TH APRIL 2019(MORNING SHIFT))
DISHA PUBLICATION|Exercise MCQs|30 Videos

Similar Questions

Explore conceptually related problems

If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are alos in A.P. then

If x, y and z are in AP and tan^(-1) x, tan^(-1) y " and " tan^(-1) z are also in AP, then

If x, y, z are in A.P. and t a n^(-1)x ,""t a n^(-1)y""a n d""t a n^(-1)z are also in A.P., then (1) 2x""=""3y""=""6z (2) 6x""=""3y""=""2z (3) 6x""=""4y""=""3z (4) x""=""y""=""z

If x,y,z are in AP and tan^(-1)x,tan^(-1)y,tan^(-1)z are also in AP, then

If three positive numbers a,b,c are in A.P ad tan^(-1)a,tan^(-1)b,tan^(-1)c are also in A.P such that b lt 1 and ac lt 1 then

DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 2: (CONCEPT APPLICATOR)

5cos^(-1)((1-x^(2))/(1+x^(2)))+7sin^(-1)((2x)/(1+x^(2)))-4tan^(-1)((2x...
Text Solution
|
If alpha="sin"^(-1)("cos"("sin"^(-1)x)) and beta="cos"^(-1)("sin"("cos...
Text Solution
|
If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are al...
Text Solution
|
If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi, then
Text Solution
|
Q. the value of tan^-1(a/(b+c))+tan^-1(b/(c+a)), if /=90^@ in triangle...
Text Solution
|
If 1/2"sin"^(-1)(2x)/(1+x^2)+1/2"cos"^(-1)(1-y^2)/(1+y^2)+1/3"tan"^(-1...
Text Solution
|
If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/(4)"than ...
Text Solution
|
If A="tan"^(-1)((xsqrt3)/(2K-x)) and B="tan"^(-1)((2x-K)/(Ksqrt3)), th...
Text Solution
|
If f(x)=cot^(-1) ((3x-x^3)/(1-3x^2)) and g(x)=cos^(-1)((1-x^2)/(1+x^2)...
Text Solution
|
Find x satisfying [tan^(-1)x]+[cos^(-1)x]=2, where [] represents the g...
Text Solution
|
Evaluate underset(xto-1^(+))lim(sqrt(pi)-sqrt(cos^(-1)x))/(sqrt(1+x)).
Text Solution
|
The value of sin^(-1){cot(sin^(-1)(sqrt((2-sqrt3)/4)+cos^(-1)(sqrt(12)...
Text Solution
|
The minimum integral value of alpha for which the quadratic equation (...
Text Solution
|
If the equation x^3+b x^2+c x+1=0,(b<c), has only one real rootalpha ,...
Text Solution
|
Total number of ordered pairs (x, y) satisfying |y| = cos x and y = s...
Text Solution
|
The set of values of k for which x^2 - kx + sin^-1 (sin 4) > 0 for all...
Text Solution
|
If sin^-1x+sin^-1y+sin^-1z=pi then x^4+y^4+z^4+4x^2y^2z^2=
Text Solution
|
Find the value of tan^-1(1/2tan2A)+tan^-1(cotA)+tan^-1(cot^3A)
Text Solution
|
Find the number of positive integral solution of the equation tan^(-1)...
Text Solution
|
If cos^(-1)x//2+cos^(-1) y//3=theta," prove that "9x^(2)-12xy cos thet...
Text Solution
|