Select Goal &
City
Select Goal
Explore
Question:
The length of the transverse common tangent of the circles $x^2 + y^2 - 2x + 4y + 4 = 0$ and $x^2 + y^2 + 4x - 2y + 1 = 0 $ is
The length of the transverse common tangent of the circles $x^2 + y^2 - 2x + 4y + 4 = 0$ and $x^2 + y^2 + 4x - 2y + 1 = 0 $ is
Updated On: Apr 4, 2024
- $\sqrt{3}$
- $\sqrt{17}$
- $\sqrt{15}$
- 3
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Answer (d) 3
Was this answer helpful?
0
0
Top Questions on Tangents and Normals
The portion of the line \( 4x + 5y = 20 \) in the first quadrant is trisected by the lines \( L_1 \) and \( L_2 \) passing through the origin. The tangent of an angle between the lines \( L_1 \) and \( L_2 \) is:
- JEE Main - 2024
- Mathematics
- Tangents and Normals
- If A is the area in the first quadrant enclosed by the curve \(C: 2x^2 – y + 1 = 0\), the tangent to C at the point (1, 3) and the line x + y = 1, then the value of 60A is ________
- JEE Main - 2023
- Mathematics
- Tangents and Normals
If f(x) = ex, h(x) = (fof) (x), then \(\frac{h'(x)}{h'(x)}\) =
- TS EAMCET - 2023
- Mathematics
- Tangents and Normals
- Let a curve y = f(x), x ∈ (0, ∞) pass through the points \(p ( 1\frac{3 }{2} )\) and Q \( ( a,\frac{1 }{2} )\). If the tangent at any point R(b, f(b)) to the given curve cuts the y-axis at the point S (0, c) such that bc = 3, then (PQ)2 is equal to ______.
- JEE Main - 2023
- Mathematics
- Tangents and Normals
- The tangents at the point $A (1,3)$ and $B (1,-1)$ on the parabola $y^2-2 x-2 y=1$ meet at the point $P$ Then the area (in unit $^2$ ) of $\triangle PAB$ is :-
- JEE Main - 2023
- Mathematics
- Tangents and Normals
View More Questions
Questions Asked in AP EAMCET exam
Six coins tossed simultaneously then find the probability of getting at least 4 heads.
- AP EAMCET - 2023
- Probability
- In the chessboard if the rectangle form is 1296, find the total number of squares formed.
- AP EAMCET - 2023
- Coordinate Geometry
Find the products formed if chlorine reacts with the cold and dilute sodium hydroxide solution.
- AP EAMCET - 2023
- Chemical Reactions
- Find the coefficient of \(\frac{y^3}{x^8}\) in \((x+y)^{-5}\) ?
- AP EAMCET - 2023
- Binomial theorem
- Which compound is gem-dihalide?
- AP EAMCET - 2023
- Organic Chemistry- Some Basic Principles and Techniques
View More Questions
Concepts Used:
Tangents and Normals
- A tangent at a degree on the curve could be a straight line that touches the curve at that time and whose slope is up to the derivative of the curve at that point. From the definition, you'll be able to deduce the way to realize the equation of the tangent to the curve at any point.
- Given a function y = f(x), the equation of the tangent for this curve at x = x0
- Slope of tangent (at x=x0) m=dy/dx||x=x0
- A normal at a degree on the curve is a line that intersects the curve at that time and is perpendicular to the tangent at that point. If its slope is given by n, and also the slope of the tangent at that point or the value of the derivative at that point is given by m. then we got
m×n = -1
- The normal to a given curve y = f(x) at a point x = x0
- The slope ‘n’ of the normal: As the normal is perpendicular to the tangent, we have: n=-1/m
Diagram Explaining Tangents and Normal:
SUBSCRIBE TO OUR NEWS LETTER
COLLEGE NOTIFICATIONSEXAM NOTIFICATIONSNEWS UPDATES
Download the Collegedunia app on 
© 2024 Collegedunia Web Pvt. Ltd. All Rights Reserved