AP EAMCET · Maths · Straight Lines
The circumcentre of the triangle formed by the points \(A(1, \sqrt{3}), B(-1,-\sqrt{3})\) and \((3,-\sqrt{3})\) is
- A \((1,-\sqrt{3})\)
- B \(\left(-1, \frac{1}{\sqrt{3}}\right)\)
- C \((0,0)\)
- D \(\left(1, \frac{-1}{\sqrt{3}}\right)\)
Answer & Solution
Correct Answer
(D) \(\left(1, \frac{-1}{\sqrt{3}}\right)\)
Step-by-step Solution
Detailed explanation
Vertices of \(\triangle A B C\) are \(A(1, \sqrt{3}), B(-1,-\sqrt{3})\) and \(C(3,-\sqrt{3})\) \(A B=\sqrt{4+12}=4\) \(\begin{aligned} & B C=\sqrt{4+12}=4 \\ & A C=\sqrt{4+12}=4\end{aligned}\) Here, \(A B C\) is an equilateral triangle. \(\therefore\) Circumcentre of triangle is…
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 two curves \(\mathrm{y}=a^x\) and \(y=b^x\) intersect at angle \(\alpha\), then \(\tan \alpha=\)AP EAMCET 2022 Hard
- If \(f(x)=a x^2+b x+c\) satisfies \(f(1)+2 f(2)=0\) and \(2 \mathrm{f}(1)+\mathrm{f}(2)=0\), then \(3 \mathrm{a}+\mathrm{b}=\)AP EAMCET 2022 Easy
- \(\int \frac{2 x^2-1+x^2 \sqrt{x^2+4}}{x^2\left(x^2+4\right)} d x=\)AP EAMCET 2018 Hard
- If \(f(x)=x^3+a x^2+b x+5 \sin ^2 x\) is an increasing function on \(R\), thenAP EAMCET 2018 Easy
- If the pair of lines \(2 x^2+3 x y+y^2=0\) makes angles \(\theta_1\) and \(\theta_2\) with the positive direction of the X-axis, then \(\left|\tan \left(\theta_1-\theta_2\right)\right|=\)AP EAMCET 2017 Medium
- If \(\tan \alpha\) and \(\tan \beta\) are the roots of the equation \(x^2+p x+q\) \(=0\), then the value of \(\sin ^2(\alpha+\beta)+p \cos (\alpha+\beta) \sin (\alpha\) \(+\beta)+q \cos ^2(\alpha+\beta)\) isAP EAMCET 2017 Hard
More PYQs from AP EAMCET
- If the chord of contact of \(\mathrm{P}\left(x_1, y_1\right)\) with respect to the circle \(x^2+y^2=a^2\) meets the circle at \(\mathrm{A}\) and \(\mathrm{B}\); and if \(\lfloor \mathrm{AOB}=90^{\circ}\), then \(x_1^2+y_1^2=\)AP EAMCET 2017 Easy
- In a \(\triangle A B C\), the sides \(a, b, c\) are in A.P. if and only if \(r_1, r_2, r_3\) are inAP EAMCET 2020 Medium
- In \(\triangle \mathrm{ABC},\left(r_2+r_3\right) \operatorname{cosec}^2 \frac{A}{2}=\)AP EAMCET 2024 Medium
- The compound in which the number of \(d \pi\) - \(p \pi\) bonds are equal to those present in \(\mathrm{ClO}_4^{-}\)AP EAMCET 2008 Hard
- The triangle with vertices at \((-2,2),(2,-2)\) and \((1,1)\) isAP EAMCET 2022 Easy
- The correct order comparing the acid strengths of \(\mathrm{HF}, \mathrm{HCl}, \mathrm{HBr}\) and \(\mathrm{HI}\) ?AP EAMCET 2020 Easy