Home
Class 12
MATHS
Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+...

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.

Promotional Banner

Topper's Solved these Questions

  • JEE (ADVANCED ) 2020

    JEE ADVANCED PREVIOUS YEAR|Exercise SECTION 2|6 Videos

  • JEE (ADVANCED ) 2020

    JEE ADVANCED PREVIOUS YEAR|Exercise SECTION 3|6 Videos

  • JEE (ADVANCED) 2020

    JEE ADVANCED PREVIOUS YEAR|Exercise SECTION-3|6 Videos

Similar Questions

Explore conceptually related problems

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–10y+30=0 Statement-I : If line L_(1) is a chord of circle C, then line L_(2) is not always a diameter of circle C. and Statement-II : If line L_(1) is a diameter of circle C, then line L_(2) is not a chord of circle C.

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

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.

Statement-1: The lines y=mx+1-m for all values of m is a normal to the circle x^(2)+y^(2)-2x-2y=0 . Statement-2: The line L passes through the centre of the circle.

y=2x is a chord of the circle x^(2)+y^(2)-10x=0, then the equation of a circle with this chord as diameter is

S:x ^(2) + y ^(2) -8x + 10y =0 and L : x -y -9=0 are the equations of a circle and a line.

Let L_(1):2x+3y+lambda-3=0 and L_(2):2x+3y+lambda+3=0 be two lines where lambda is an integer and C:x^(2)+y^(2)+6x+10y+30=0 is a circle,then find all possible values of lambda for which both the lines are chords of the given circle