Class XI_Conic Section
Q: If a circle of constant radius ‘𝟑𝒄’ passes through the origin and meets the axes A & B. Prove that the laws of centroid of ∆𝐀𝐁𝐂 is a circle of radius ‘𝟐𝒄’.
Previous recorded questions and their links:
INTRODUCTION TO CONIC SECTION – CIRCLE: • INTRODUCTION TO CONIC SECTION – CIRCLE
CONCEPT: DIAMETERIC EQUATION OF A CIRCLE: • CONCEPT: DIAMETERIC EQUATION OF A CIRCLE
CONCEPT: GENERAL EQUATION OF A CIRCLE: • CONCEPT: GENERAL EQUATION OF A CIRCLE
CONCEPT: PARAMETRIC EQUATION OF A CIRCLE: • CONCEPT: PARAMETRIC EQUATION OF A CIR...
Q6: Find the center and radius of the circle if the equation of the circle is (x+5)^2+(y-3)^2=36: • Find the center and radius of the cir...
Q7: Find the center and radius of the circle if the equation of the circle is x^2+y^2-4x-8y-45=0: • Find the center and radius of the cir...
Q10: Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre is on the line 4x+y=16: • Find the equation of the circle passi...
Q12: Find the equation of the circle with radius 5 whose centre lies on x-axis and passes through the point (2,3).: • Find the equation of the circle with ...
Q13: Find the equation of the circle passing through (0,0) and making intercepts a and b on the coordinate axes: • Find the equation of the circle passi...
Q: Find EOC which passes through the point of intersection of the lines l_1:3x-2y-1=0 & l_2:4x+y-27=0 and whose center is (2, -3): • Find EOC which passes through the poi...
Q: Find EOC having center (3, -4) and touching the line 5x+12y-12=0: • Find EOC having center (3, -4) and to...
Q: Find EOC with Origin as center and which circumscribes an equilateral ∆ whose median is of length 3a.: • Find EOC with Origin as center and wh...
Q: If the equations of two diameters of a circle are x-y=5 and 2x+y=4 and radius is 5. Find EOC.: • If the equations of two diameters of ...
Q: Find EOC which touches both axes and radius is 5.: • Find EOC which touches both axes and ...
Q: Find EOC which touches the lines x=0, y=0 & x=a: • Find EOC which touches the lines 𝒙=𝟎,...
Q: Find EOC concentric with the circle 2x^2+2y^2+8x+10y-39=0 and having its area equal to 16π sq. units.: • Find EOC concentric with the circle 𝟐...
Q: Find EOC that passes through (1,0), (-1, 0), (0, 1).: • Q: Find EOC that passes through (𝟏,𝟎)...
Q: The straight line x/a+y/b=1 cuts the coordinate axes at A & B. Find EOC passing through O(0,0), A & B.: • The straight line 𝒙/𝒂+𝒚/𝒃=𝟏 cuts the ...
Q: Show that points (9,1), (7, 9), (-2, 12) & (6, 10) are con-cyclic.: • Show that points (𝟗,𝟏), (𝟕, 𝟗), (−𝟐, ...
Q: Find EOC which passes through the points (1, -2) & (4, -3) and has its centre on the line 3x+4y=7: • Find EOC which passes through the poi...
Q: Find area of equilateral ∆ inscribed in the circle x^2+y^2+2gx+2fy+c=0.: • Find area of equilateral ∆ inscribed ...
Q: If the line lx+my=1 is a tangent to the circle x^2+y^2=a^2, then prove that (l, m) lies on a circle.: • If the line 𝒍𝒙+𝒎𝒚=𝟏 is a tangent to t...
Q: If the line lx+my+n=0 touches the circle x^2+y^2=a^2, then prove that (l^2+m^2 ) a^2=n^2.: • If the line 𝒍𝒙+𝒎𝒚+𝒏=𝟎 touches the cir...
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