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Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0...

Consider: `L_1:2x+3y+p-3=0` `L_2:2x+3y+p+3=0` where `p` is a real number and `C : x^2+y^2+6x-10 y+30=0` Statement 1 : If line `L_1` is a chord of circle `C ,` then line `L_2` is not always a diameter of circle `Cdot` Statement 2 : If line `L_1` is a a diameter of circle `C ,` then line `L_2` is not a chord of circle `Cdot` Both the statement are True and Statement 2 is the correct explanation of Statement 1. Both the statement are True but Statement 2 is not the correct explanation of Statement 1. Statement 1 is True and Statement 2 is False. Statement 1 is False and Statement 2 is True.

A

Statement I is true, Statement II is true,Statement II is correct explanation of Statement I.

B

Statement I is true, Statement II is true, Statement II is not correct explanationof Statement I.

C

Statement I is true, Statement II is false.

D

Statement I is false , Statement II is true.

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Consider: L_1:2x+3y+p-3=0 L_2:2x+3y+p+3=0 where p is a real number and C : x^2+y^2+6x-10 y+30=0 Statement 1 : If line L_1 is a chord of circle C , then line L_2 is not always a diameter of circle Cdot Statement 2 : If line L_1 is a a diameter of circle C , then line L_2 is not a chord of circle Cdot (A) Both the statement are True and Statement 2 is the correct explanation of Statement 1. (B) Both the statement are True but Statement 2 is not the correct explanation of Statement 1. (C) Statement 1 is True and Statement 2 is False. (D) Statement 1 is False and Statement 2 is True.

Statement-1: A circle can be inscribed in a quadrilateral whose sides are 3x -4y =0, 3x -4y= 5, 3x+ 4y= 0 and 3x+ 4y= 7 Statement-2: A circle can be inscribed in a parallelogram if and only if it is a rhombus (a) statement-1 is true, statement-2 is true and statement-2 is correct explanation for Statement-1. (b) Statement-1 is true, statement-2 is true and statement-2 is not the correct explanation for statement-1. (c) Statement-1 is true, statement-2 is false. d) Statement-1 is false, statement-2 is true

The line L_1:""y""-""x""=""0 and L_2:""2x""+""y""=""0 intersect the line L_3:""y""+""2""=""0 at P and Q respectively. The bisector of the acute angle between L_1 and L_2 intersects L_3 at R. Statement-1 : The ratio P R"":""R Q equals 2sqrt(2):""sqrt(5) Statement-2 : In any triangle, bisector of an angle divides the triangle into two similar triangles. Statement-1 is true, Statement-2 is true ; Statement-2 is correct explanation for Statement-1 Statement-1 is true, Statement-2 is true ; Statement-2 is not a correct explanation for Statement-1 Statement-1 is true, Statement-2 is false Statement-1 is false, Statement-2 is true

The equation of the diameter of the circle x^2 + y^2 + 4x + 4y-11=0 , which bisects the chord cut off by the circle on the line 2x-3y-3=0 is 3x+2y+10=0 . Statement 2 : The diameter of a circle is a chord of the circle of maximum length. (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not a correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

x-y+b=0 is a chord of the circle x^2 + y^2 = a^2 subtending an angle 60^0 in the major segment of the circle. Statement 1 : b/a = +- sqrt(2) . Statement 2 : The angle subtended by a chord of a circle at the centre is twice the angle subtended by it at any point on the circumference. (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not a correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

Statement 1 : The circle x^2 + y^2 - 8x - 6y + 16=0 touches x-axis. Statement : 2 : y-coordinate of the centre of the circle x^2 + y^2 - 8x -6y+16=0 is numerically equal to its radius. (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not a correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

Condider the lines L_(1):3x+4y=k-12,L_(2):3x+4y=sqrt2k and the ellipse C : (x^(2))/(16)+(y^(2))/(9)=1 where k is any real number Statement-1: If line L_(1) is a diameter of ellipse C, then line L_(2) is not a tangent to the ellipse C. Statement-2: If L_(2) is a diameter of ellipse C, L_(1) is the chord joining the negative end points of the major and minor axes of C.

If one of the diameters of the circle x^2+y^2-2x-6y+ 6 = 0 is a chord to the circle with centre (2, 1), then the radius of circle is:

Assertion: The lines x/1=y/2=z/3 and (x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6) are parallel., Reason: two lines having direction ratios l_1,m_1,n_1 and l_2,m_2,n_2 are parallel if l_1/l_2=m_1/m_2=n_1/n_2 . (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not the correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Statement I The line 3x-4y=7 is a diameter of the circle x^(2)+y^(2)-2x+2y-47=0 Statement II Normal of a circle always pass through centre of circle

VMC MODULES ENGLISH-CIRCLES-JEE ADVANCED ( ARCHIVE )
  1. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

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  2. The equation of the tangents drawn from the origin to the circle x^(2)...

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  3. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

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  4. The chords of contact of the pair of tangents drawn from each point on...

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  5. Find the locus of mid-points of the chords of the circle 4x^(2)+4y^(2)...

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  6. Find the area of the triangle formed by the tangents from the point (4...

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  7. about to only mathematics

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  8. about to only mathematics

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  9. 8 TePR2 p? 4x- 2) 11 = 0 be a circle. A pall or tangents from the poin...

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  10. From the origin, chords are drawn to the circle (x-1)^2 + y^2 = 1. The...

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  11. about to only mathematics

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  12. about to only mathematics

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  13. C(1) and C(2) are two concentric circles, the radius of C(2) being tw...

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  14. Find the intervals of the values of a for which the line y+x=0 bisects...

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  15. Let a circle be given by 2x(x-1)+y(2y-b)=0,(a!=0,b!=0) . Find the cond...

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  16. Lines 5x + 12y - 10 = 0 and 5x - 12y - 40 = 0 touch a circle C1 of dia...

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  17. Through a fixed point (h,k), secant are drawn to the circle x^(2)+y^(2...

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  18. Let A be the centre of the circle x^2+y^2-2x-4y-20=0 Suppose that the ...

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  19. Two parallel chords of a circle of radius 2 are at a distance. sqrt(3+...

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  20. A line y=mx+1 meets the circle (x-3)^(2)+(y+2)^(2)=25 at point P and Q...

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