Skip to main content
Back to CIRCLES

JEE MATHEMATICS MCQ: CIRCLES

1 Medium
1 of 1
Analyzing +4 | -1
The common chord of the circle x2+y2+6x+8y−7=0x^2+y^2+6 x+8 y-7=0 and a circle passing through the origin, and touching the line y=xy=x, always passes through the point
View answer and explanation
Correct option: C
(1/2,1/2)(1 / 2,1 / 2)
Option C ((1/2,1/2)(1 / 2,1 / 2)) is correct because the common chord always passes through the intersection of two lines derived from the given circle equations.

More Questions from CIRCLES

Practice All Chapter MCQs →
The sum of the coefficients in the expansion of (α2x2−2αx+1)51,{\left( {{\alpha ^2}{x^2} - 2\alpha \mathrm{ }x + 1} \right)^{51}}, as a polynomial in xx, vanishes. Position of the point (α,2α2)\left( {\alpha ,2{\alpha ^2}} \right) with respect to the circle x2+y2=4,{x^2} + {y^2} = 4, is One of the diameter of the circle x2+y2−2x+4y−4=0{x^2} + {y^2} - 2x + 4y - 4 = 0 is The locus of the middle point of the chords of the circle x2+y2=a2{x^2} + {y^2} = {a^2} such that the chords pass through a given point (x1,y1)\left( {{x_1},{y_1}} \right), is α,β\quad \alpha, \beta and γ\gamma are the parametric angles of three points P,QP, Q, and R respectively, on the circle x2+y2=1x^2+y^2=1, and AA is the point (−1,0)(-1,0). If the lengths of the chords AP,AQA P, A Q and ARA R are in GPG P, then cos⁡α/2,cos⁡β/2\cos \alpha / 2, \cos \beta / 2 and cos⁡γ/2\cos \gamma / 2 are in The radius of the circle passing through the point (6,2), two of whose diameters are x+y=6x+y=6 and x+2y=4x+2 y=4 is If a circle has two of its diameters along the lines x+y=5x+y=5 and x−y=1x-y=1 and has area 9π9 \pi, then the equation of the circle is
Type at least 2 characters or jump directly:
🩺 NEET MCQs 🔬 JEE MCQs 🎯 JEE College Predictor Study guides 📊 Dashboard
🔓

Save your learning progress

Sign in with a free account to save your practice answers and quiz results, then return to them when you revise.

Continue with Free Account →