AP EAMCET · Maths · Circle
The length of the common chord of the circles of radii 15 and 20, whose centres are 25 unit of distance apart, is
- A 12
- B 16
- C 24
- D 25
Answer & Solution
Correct Answer
(C) 24
Step-by-step Solution
Detailed explanation
Given, \(r_1=15\) unit \(r_2=20 \text { unit }\) \(C_1 C_2=25\) unit Let \(\angle A C_2 D=\theta\) Then, in right angled triangle \(A D C_2\), \(A D=r_2 \sin \theta\) \(\Rightarrow \quad \frac{A D}{r_2}=\sin \theta\) ...(i) Now, in right angled triangle \(A D C_1\)…
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 the point of intersection of the tangents drawn at the points where the line \(5 x+y+1=0\) cuts the circle \(x^2+y^2-2 x-6 y-8=0\) is \((\underline{a, b})\), then \(5 a+b=\)AP EAMCET 2017 Medium
- \(f(x)=\left|\log _e\right| x \|\) is differentiable atAP EAMCET 2020 Easy
- Given, \(P(A)=0.5, P(B)=0.4, P(A \cap B)=0.3\), then \(P\left(A^{\prime} / B^{\prime}\right)\) is equal toAP EAMCET 2021 Medium
- The point of intersection of the latus rectum and axis of the parabola isAP EAMCET 2021 Easy
- \(\lim _{x \rightarrow 1}\left(\frac{x+x^2+x^3+\ldots+x^n-n}{x-1}\right)=\)AP EAMCET 2024 Easy
- If \(a=\frac{1-i \sqrt{3}}{2}\), then the correct matching of 'List-I from List-II is
List-I
List-II
(i) \(a \bar{a}\)
(A) \(-\frac{\pi}{3}\)
(ii) \(\arg \left(\frac{1}{\bar{a}}\right)\)
(B) \(-i \sqrt{3}\)
(iii) \(a-\bar{a}\)
(C) \(2 i / \sqrt{3}\)
(iv) \(\operatorname{Im}\left(\frac{4}{3 a}\right)\)
(D) 1
(E) \(\pi / 3\)
(F) \(\frac{2}{\sqrt{3}}\)
correct match is
(i)
(ii)
(iii)
(iv)AP EAMCET 2007 Hard
More PYQs from AP EAMCET
- The locus of a point at which the line joining the points \((-3,1,2),(1,-2,4)\) subtends a right angle, isAP EAMCET 2025 Medium
- \(\int \frac{d x}{x^{2 / 3}\left(1+x^{2 / 3}\right)}=\)AP EAMCET 2017 Hard
- Find the equations of the tangents drawn to the circle at the points where the line meets it.AP EAMCET 2021 Easy
- If \(\tan A+\tan B=x\) and \(\cot A+\cot B=y\), then \(\tan (\mathrm{A}+\mathrm{B})=\)AP EAMCET 2023 Medium
- Meta directing groups among the following are
\(\begin{array}{ccccc}
-\mathrm{CN} & -\mathrm{COR} & -\mathrm{NHCOR} & -\mathrm{SO}_3 \mathrm{H} & -\mathrm{OCH}_3 \\
\text{(a)} & \text{(b)} & \text{(c)} & \text{(d)} & \text{(e)}
\end{array}\)AP EAMCET 2017 Easy - The equation of polar of \((1,1)\) with respect to the circle \(x^2+y^2+4 x+6 y-3=0\) isAP EAMCET 2021 Hard