Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Number of integral values of  b  for which tangent parallel to line 

Number of integral values of  b  for which tangent parallel to line \mathrm{y=x+1}  can be drawn to hyperbola  \mathrm{\frac{x^2}{5}-\frac{y^2}{b^2}=1} is 

Option: 1

0


Option: 2

1


Option: 3

2


Option: 4

None of these


Answers (1)

best_answer

Equation of tangent to hyperbola \mathrm{\frac{x^2}{5}-\frac{y^2}{b^2}=1} having slope m is

\mathrm{y=m x \pm \sqrt{a^2 m^2-b^2} \Rightarrow y=x \pm \sqrt{5-b^2}}

Comparing with \mathrm{y=x+1}, we get

\mathrm{b^2=4 \text { or } b= \pm 2 }

So, two values are possible.

Posted by

Anam Khan

View full answer

JEE Main high-scoring chapters and topics

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

Similar Questions

Trending Articles/News

anam-khan

Amrita BTech Admission 2025: JEE Main-based registration deadline extended to August 30

Latest Question