Can You Visualize The Answer?

Added: 2026-05-25

[00:00:00]Can you find the value of 10 x?

[00:00:06]In any circle diameter diameter makes an angle of 90° on the circle.

[00:00:30]So, angle APB it will be 90° and angle AQB it will be also 90° and now BP squared it will be AB squared minus AP squared and AB is 50 a squared minus AP is 30 a squared and it is 2500 minus 900 that is 1600 so BP squared is 1600 that means BP it will be 40 BP is 40 and BQ a squared it will be AB squared minus AQ squared and AB is 50 a squared minus AQ is 48 a squared and it is 2 a squared times 25 a squared minus 24 a squared and it is 2 a squared times 625 minus 576 and it is 2 a squared times 49 and it is 2 a squared times 7 a squared that will be 14 a squared so BQ squared is 14 a squared that means BQ it will be 14 BQ is 14 and now suppose this angle is Y and this complete angle is theta then X plus Y is theta that means X it will be theta minus Y.

[00:03:53]So, tan X it will be tan theta minus Y.

[00:04:03]And tan X is tan theta minus Y.

[00:04:11]It will be tan theta minus tan Y divided by 1 plus tan theta times tan Y.

[00:04:30]And tan theta is BP over AP.

[00:04:40]That will be 40 over 30.

[00:04:45]That will be 4 over 3.

[00:04:51]And tan Y it is BQ over AQ.

[00:04:59]And BQ is 14 over AQ is 48.

[00:05:06]That will be 7 over 24.

[00:05:16]So, tan X is 4 over 3 minus 7 over 24 divided by 1 plus 4 over 3 times 7 over 24.

[00:05:44]And tan x is 32 over 24 - 7 over 24 divided by 1 + and 4 * 6 is 24.

[00:06:11]So, it is 7 over 18.

[00:06:21]And tan x is 32 - 7 over 24 divided by 18 + 7 over 18.

[00:06:43]And tan x is 25 over 24 divided by 25 over 18.

[00:07:00]And 25 will get cancelled.

[00:07:06]So, it is 1 over 24 divided by 1 over 18.

[00:07:16]That will be 18 over 24.

[00:07:24]And 6 * 3 is 18.

[00:07:28]6 * 4 is 24.

[00:07:32]So, it is 3 over 4.

[00:07:38]So, tan x tan x 3 over 4.

[00:07:48]>> [music]