AP EAMCET · Maths · Circle
The equations of the tangent to the circle \(5 x^2+5 y^2=1\) parallel to the line \(3 x+4 y=1\) are
- A \(3 x+4 y= \pm 2 \sqrt{5}\)
- B \(3 x+4 y= \pm \sqrt{5}\)
- C \(6 x+8 y= \pm \sqrt{5}\)
- D \(3 x+4 y= \pm 3 \sqrt{5}\)
Answer & Solution
Correct Answer
(B) \(3 x+4 y= \pm \sqrt{5}\)
Step-by-step Solution
Detailed explanation
Given, equation of circle is \(5 x^2+5 y^2=1\) \(\begin{aligned} & \Rightarrow \quad x^2+y^2=(1 / \sqrt{5})^2 \\ & \therefore \text { Centre }=(0,0) \text { and radius }=1 / \sqrt{5}\end{aligned}\) Given, line is 3x + 4y = 1 \[ \Rightarrow \text { Slope }(m)=\frac{-3}{4} \]…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(\alpha, \beta\) and \(\gamma\) are the roots of the equation \(x^3+p x^2+q x+r=0\), then the coefficient of \(x\) in the cubic equation whose roots are \(\alpha(\beta+\gamma), \beta(\gamma+\alpha)\) and \(\gamma(\alpha+\beta)\) isAP EAMCET 2012 Easy
- Assertion If are two non-collinear vectors then the vector component of along the line perpendicular to is .
Reason and vector component of on is .AP EAMCET 2019 Medium - \(\lim _{x \rightarrow \infty}\left(\frac{2+\sin x}{x^2+3}\right)\) is equal toAP EAMCET 2021 Easy
- The period of
\(\left(\tan \theta-\frac{1}{3} \tan ^3 \theta\right)\left(\frac{1}{3}-\tan ^2 \theta\right)^{-1}\)
where \(\tan ^2 \theta \neq \frac{1}{3}\) isAP EAMCET 2010 Easy - If \(x_1, x_2, \ldots, x_n\) are \(n\) observations such that \(\sum_{i=1}^n x_1^2=400\) and \(\sum_{i=1}^n x_1=80\), then the least value of \(n\) isAP EAMCET 2014 Hard
- A bag contains 10 identical pens, of which 4 are red and 6 are blue. 3 pens are taken out at random one after another. Find probability that all 3 are blueAP EAMCET 2020 Easy
More PYQs from AP EAMCET
- The radical centre of the circles \(x^2+y^2-4 x-6 y+5=0\), \(x^2+y^2-2 x-4 y-1=0\) and \(x^2+y^2-6 x-2 y=0\) is equal toAP EAMCET 2020 Medium
- The transition metal in which of the following compound has zero oxidation state.AP EAMCET 2021 Easy
- Identify the reaction in which diborane is produced on industrial scale?AP EAMCET 2025 Easy
- If the plane \(56 x+4 y+9 z=2016\) meets the coordinate axes in \(A, B, C\), then the centroid of the \(\triangle A B C\) isAP EAMCET 2016 Easy
- AP EAMCET 2018 Hard
- If the lengths of the tangents drawn from a point to the three circles and are equal, then the coordinates of areAP EAMCET 2018 Medium