Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

Let $\mathrm{A, B, C}$ be the vertices of a triangle and $\mathrm{ ' B ', ' C ' }$ lies on the line $\mathrm{ 3 x-5 y=1 }$ . It is given that $\mathrm{ \angle A=45^{\circ}}$ . The slope of the tangent at $\mathrm{ ' \mathrm{B} ' }$ to the circumcircle of the $\mathrm{ \triangle \mathrm{ABC} }$ , can be

Option: 1
$\frac{1}{4}$

Option: 2
$\frac{1}{-4}$

Option: 3
$-4$

Option: 4
$\text{None of these}$

Answers (1)

best_answer

Let the slope of the tangent at $\mathrm{B}$ be $\mathrm{m}$ and it makes $\mathrm{45^{\circ} \: \: with \: \: 3 \mathrm{x}-5 \mathrm{y}=1}$

$\mathrm{ \therefore \tan 45^{\circ}=\left|\frac{m-\frac{3}{5}}{1+\frac{3 m}{5}}\right| }$

$\mathrm{ \Rightarrow \mathrm{m}=4, \quad-\frac{1}{4} . }$

Hence option 2 is correct.

Posted by

manish

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

50 mL of 0.2 M ammonia solution is treated with 25 mL of 0.2 M HCl. If pK_b of ammonia solution is 4.75, the pH of the mixture will be :
Option: 1 3.75
Option: 2 4.75

Trending Articles/News

anam-khan

JEE Main 2025: 11 from Kota coaching centres among 24 students with 100 percentile

anam-khan

Low JEE Main rank? Explore alternative paths for engineering admission

anam-khan

Gender-gap in JEE Main 2025: Female participation remains around 31%, overall pool drops by 7.09%

Latest Question