AP EAMCET · Maths · Straight Lines
The circumcentre of the triangle formed by the lines \(x+\) \(y+2=0,2 x+y+8=0\) and \(x-y-2=0\) is
- A \((-5,1)\)
- B \((-4,0)\)
- C \((0,-2)\)
- D \(\left(\frac{-8}{3}, \frac{-2}{3}\right)\)
Answer & Solution
Correct Answer
(B) \((-4,0)\)
Step-by-step Solution
Detailed explanation
\(x+y+2=0\) \(\qquad ....\mathrm{(i)}\) \(\begin{aligned} & 2 x+y+8=0 \qquad ....\mathrm{(ii)}\\ & x-y-2=0 \qquad ....\mathrm{(iii)} \end{aligned}\) Solving (i) and (ii), we get \((x, y)=(-6,4)\) Solving (i) and (iii). we get \((x, y)=(0,-2)\) Solving (ii) and (iii), we get…
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 \(A=\frac{\pi}{24}\), then \(\frac{\cos A+\cos 3 A+\cos 5 A+\cos 7 A}{\sin A+\sin 3 A+\sin 5 A+\sin 7 A}=\)AP EAMCET 2023 Easy
- The descending order of magnitude of the eccentricities of the following hyperbolas is
A. A hyperbola whose distance between foci is three times the distance between its directrices.
B. Hyperbola in which the transverse axis is twice the conjugate axis.
C. Hyperbola with asymptotes
\(x+y+1=0, x-y+3=0\)AP EAMCET 2024 Easy - A regular polygon has 170 diagonals. Then the measure of interior angle of the polygon isAP EAMCET 2020 Medium
- If a line makes angles \(90^{\circ}, 135^{\circ}\) and \(45^{\circ}\) with the positive directions of \(X, Y, Z\)-axes respectively. Then, its direction cosines areAP EAMCET 2020 Easy
- Let \(S_1=\sum_{j=1}^{10} j(j-1) \cdot 10_{C_j}, S_2=\sum_{j=1}^{10} j \cdot 10_{C_j}\) and \(S_3=\sum_{j=1}^{10} j^2 \cdot 10_{C_j}\).
Assertion (A) : \(\quad \mathrm{S}_3=55 \times 2^9\)
Reason (R) : \(\quad \mathrm{S}_1=90 \times 2^8\) and \(\mathrm{S}_2=10 \times 2^8\)AP EAMCET 2025 Hard - If \(\alpha, \beta\) are the roots of \(x^2-3 x+a=0\) and \(\gamma, \delta\) are the roots of \(x^2-12 x+b=0\) and \(\alpha, \beta, \gamma, \delta\) in that order form a geometric progression in increasing order with common ratio \(r>1\), then \(a+b=\)AP EAMCET 2017 Medium
More PYQs from AP EAMCET
- Two dice are thrown and the sum of the numbers appeared on the dice is noted. If \(A\) is the event of getting a prime number as their sum and \(B\) is the event of getting a number greater than 8 as their sum, then \(\mathrm{P}(\mathrm{A} \cap \overline{\mathrm{B}})=\)AP EAMCET 2025 Medium
- If \(x=\log _e\left[\cot \left(\frac{\pi}{4}+\theta\right)\right]\) where \(|\theta| < \frac{\pi}{4}\) then \(\sinh x=\)AP EAMCET 2017 Easy
- A short bar magnet is placed in a uniform magnetic field of 2 T such that the axis of the magnet makes an angle of \(45^{\circ}\) with the direction of the magnetic field. If the torque acting on the magnet is \(0.36 \sqrt{2} \mathrm{Nm}\), then the moment of the magnet isAP EAMCET 2025 Medium
- The displacement \(y(\) in \(\mathrm{cm})\) in case of a simple harmonic wave is given by \(y=\frac{10}{\pi} \sin \left(2000 \pi t-\frac{\pi x}{17}\right)\). The period and maximum velocity of the particles in the medium will respectively beAP EAMCET 2020 Easy
- If \(\mathrm{A}=(1,2,3), \mathrm{B}=(3,4,7)\) and \(\mathrm{C}=(-3,-2,-5)\) are three points then the ratio in which the point C divides AB externally isAP EAMCET 2024 Easy
- The capacitance of a spherical capacitor is 100 pF. If the spacing between the two spheres is 1 cm, then the radius of the inner sphere of the capacitor isAP EAMCET 2025 Medium