Find the number of positive integral sol...

Find the number of positive integral solutions of `tan^-1 x + cot^-1 y = tan^-1 3`.

one

two

three

four

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

INVERSE TRIGONOMETRIC FUNCTIONS
ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|20 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
ARIHANT MATHS|Exercise Exercise For Session 7|7 Videos
INDEFINITE INTEGRAL
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
LIMITS
ARIHANT MATHS|Exercise Exercise For Session 6|4 Videos

Similar Questions

Explore conceptually related problems

The number of positive integral solutions of tan^(-1)x + cot^(-1)y= tan^(-1)3 is :

STATEMENT-1 : If tan^2 (sin^-1x) > 1 then x in(-1-1/sqrt2)uu(1/sqrt(2).1).STATEMENT-2 : The number of positive integral solution of tan^-1 1/y+cot^-1(1/x)=cot^-1(1/3), where x/y < 1, is 2. STATEMENT -3 : If sin^-1 x=-cos^-1 sqrt(1-x^2) and sin^-1 y=cos^-1 sqrt(1-y^2), then the exact range of (tan^-1 x+ tan6-1 y) is [-pi/4,pi/4].

Find the number of positive integral solution of the equation tan^(-1)x+cos^(-1)(y)/(sqrt(1+y^(2)))=sin^(-1)((3)/(sqrt(10))) .

Find the number of positive integral solution of the equation tan^(-1)x+(cos^(-1)y)/(sqrt(1+y^(2)))=(sin^(-1)3)/(sqrt(10))

Find the number of solution of 2 tan^(-1) (tan x) = 6 - x

Find the number of positive integral solutions satisfying the equation (x_(1)+x_(2)+x_(3))(y_(1)+y_(2))=77

If k be a positive integer , show that the equation tan^-1 x+tan^-1 y= tan^-1 k has no positive integral solution.

The number of real solution of equation tan^(-1)x+cot^(-1)(-|x|)=2tan^(-1)(6x) is

ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)

If tan^(-)(x)/(pi)lt (pi)/(3) x in N then the maximum vlaue of x is
Text Solution
|
If tan^(-1)( (sqrt((1+x^(2))) - sqrt((1-x^(2))))/(sqrt((1+x^(2)))+sqrt...
Text Solution
|
Find the number of positive integral solutions of tan^-1 x + cot^-1 y ...
Text Solution
|
If cosec^(-1) ( cosec x) " and " cosec ( cosec^(-1) x) are equal func...
Text Solution
|
The value of underset(|x| rarr oo)("lim") cos (tan^(-1) (sin (tan^(-1)...
Text Solution
|
Complete solution set of (cot^(-1)x)+2(tan^(-1)x)=0, where [] denotes ...
Text Solution
|
If sin^(-1) : [-1, 1] rarr [(pi)/(2), (3pi)/(2)] and cos^(-1) : [-1, 1...
Text Solution
|
If asin^(-1)x-bcos^(-1)x=c , then asin^(-1)x+bcos^(-1)x is equal to 0 ...
Text Solution
|
The number of integer x satisfying sin^(-1)|x-2|+cos^(-1)(1-|3-x|)=pi/...
Text Solution
|
The value of alpha such that sin^(-1)2/(sqrt(5)),sin^(-1)3/(sqrt(10)),...
Text Solution
|
L e t|tan^(-1)xtan^(-1)2xtan^(-1)3xtan^(-1)3xtan^(-1)xtan^(-1)2xtan^(-...
Text Solution
|
If alpha is the only real root of the equation x^3 + bx^2 + cx + 1 = ...
Text Solution
|
Let u = cot^(-1) sqrt(cos 2 theta) - tan^(-1) sqrt( cos 2 theta) , ...
Text Solution
|
Let f(x)= cos^(-1) ((1-x^2)/(1+x^2))= 2 tan^(-1)x x ge 0 , =-2 tan^(-1...
Text Solution
|
Let f(x)= sin^(-1)((2x)/(1+x^2))AAx in R. The function f(x) is continu...
Text Solution
|
Let f(x) = tan^(-1) (x^2-18x + a) gt 0 x in R. Then the value of a lie...
Text Solution
|
Let f(x)=sin^(-1)2x + cos^(-1)2x + sec^(-1)2x. Then the sum of the max...
Text Solution
|
If tan^(-1) . b/(c+a) + tan^(-1) . (c)/(a + b) = pi/4where a, b, c , a...
Text Solution
|
Solutions of sin^(-1) (sinx) = sinx are if x in (0, 2pi)
Text Solution
|
The equation e^(sin^(-1)x)/pi=y/(log y) has
Text Solution
|