AP EAMCET · Maths · Circle
The length of the tangent drawn to the circle \(x^2+y^2-2 x+4 y-11=0\) from the point \((1,3)\) is :
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(C) 3
Step-by-step Solution
Detailed explanation
The length of the tangent drawn to the circle \(x^2+y^2-2 x+4 y-11=0\) from the point \((1,3)\) \(=\sqrt{1^2+3^2-2 \cdot 1+12-11}\) \(=\sqrt{1+9-2+12-11}\) \(=\sqrt{22-13}=\sqrt{9}\) \(=3\)
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
- The equation \((2 p-3) x^2+2 p x y-y^2=0\) represents a pair of distinct linesAP EAMCET 2025 Medium
- If \(f\) is defined by \(f(x)=\left\{\begin{array}{cc}\frac{1-\cos a x}{x \sin x}, \)(x \neq 0)\( \frac{1}{2} \quad,(x=0)\end{array}\right.\) and \(f\) is continuous at \(x=0\), then \(a^2=\)AP EAMCET 2017 Medium
- Which statement among the following is true?
(i) The function is strictly increasing on .
(ii) The function is strictly increasing on .
(iii) A one-one function is always an increasing function.
(iv) is strictly decreasing onAP EAMCET 2021 Medium - Let the complex numbers \(\alpha\) and \(\left(\frac{1}{\bar{\alpha}}\right)\) lie on circles \(\left(x-x_0\right)^2+\left(y-y_0\right)^2=r^2\) and \(\left(x-x_0\right)^2+\left(y-y_0\right)^2=4 r^2\) respectively. If \(z_0=x_0+i y_0\) satisfies the equation \(2\left|z_0\right|^2=\) \(r^2+2\), then \(|\alpha|=\)AP EAMCET 2020 Easy
- If \(f(x)= \begin{cases}\frac{1}{2}\left(b^2-a^2\right), & 0 \leq x \leq a \\ \frac{1}{2} b^2-\frac{x^2}{6}-\frac{a^3}{3 x}, & a < x \leq b, \text { then } \\ \frac{1}{3}\left(\frac{b^3-a^3}{x}\right), & x>b\end{cases}\)AP EAMCET 2023 Medium
- If \(z_1=2+3 i, z_2=4-5 i\) and \(z_3\) are are three points in the Argand plane such that \(5 \mathrm{z}_1+\mathrm{xz}_2+\mathrm{yz}_3=0\) \((x, y \in \mathbb{R})\) and \(z_3\) is the midpoint of the segment joining the points \(\mathrm{z}_1\) and \(\mathrm{z}_2\) then \(\mathrm{x}+\mathrm{y}=\)AP EAMCET 2023 Medium
More PYQs from AP EAMCET
- If \(\int_3^5 \sqrt{8 x-x^2-15} d x=p\), then \(\sin p+\operatorname{cosec} p=\)AP EAMCET 2017 Medium
- The maximum area of a right angled triangle with hypotenuse \(h\) isAP EAMCET 2022 Easy
- Identify the correct products, when ethanol reacts with \(\mathrm{PCl}_5\)AP EAMCET 2023 Medium
- \(\operatorname{Tan}^{-1} \frac{\sqrt{8-2 \sqrt{15}}}{\sqrt{15}+1}+\operatorname{Tan}^{-1} \frac{1}{\sqrt{5}}=\)AP EAMCET 2025 Medium
- Two balls are drawn from an urn containing 7 white, 6 red and 8 black balls one after the other without replacement. Then the probability that atleast one of them is white, isAP EAMCET 2018 Easy
- If \(A(2,-1)\) and \(B(6,5)\) are two points the ratio in which the foot of the perpendicular from \((4,1)\) to \(A B\) divides it, isAP EAMCET 2007 Medium