Statement 1 :The circles `x^2+y^2+2p x+r=0` and `x^2+y^2+2q y+r=0` touch if `1/(p^2)+1/(q^2)=1/edot` Statement 2 : Two centers `C_1a n dC_2` and radii `r_1a n dr_2,` respectively, touch each other if `|r_1+-r_2|=c_1c_2dot`

Statement 1 :The circles x^2+y^2+2p x+r=0 and x^2+y^2+2q y+r=0 touch if 1/(p^2)+1/(q^2)=1/r dot Statement 2 : Two centers C_1a n dC_2 and radii r_1a n dr_2, respectively, touch each other if |r_1+-r_2|=c_1c_2dot

Statement 1 :The circles x^2+y^2+2p x+r=0 and x^2+y^2+2q y+r=0 touch if 1/(p^2)+1/(q^2)=1/r Statement 2 : Two centers C_1a n dC_2 and radii r_1a n dr_2, respectively, touch each other if |r_1+r_2|=c_1c_2 (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1 (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1 (c) Statement 1 is true but Statement 2 is false (d) Statement 2 is true but Statement 1 is false

Statement 1:The circles x^(2)+y^(2)+2px+r=0 and x^(2)+y^(2)+2qy+r=0 touch if (1)/(p^(2))+(1)/(q^(2))=(1)/(e) . Statement 2: Two centers C_(1) and C_(2) and radii r_(1)andr_(2), respectively,touch each other if |r_(1)+-r_(2)|=c_(1)c_(2)

Show that the circles x^(2)+y^(2)+2ax+c=0 and x^(2)+y^(2)+2by+c=0 touch each other if 1/(a^(2))+1/(b^(2))=1/c

Show that the circles x^2 +y^2 + 2ax + c = 0 and x^2 + y^2 + 2by + c = 0 touch each other if 1//a^2 + 1//b^2 = 1//c.

Show that the circles x^(2) +y^(2) + 2ax + c=0 and x ^(2) + y^(2) + 2by + c=0 to touch each other if (1)/(a^(2)) + (1)/( b^(2)) = (1)/( c )

If the circles x ^2 + y ^2 + 2ax + c = 0 and x ^2 + y ^2 +2by + c = 0 touch each other, prove that 1/a ^2 + 1 b ^2 = 1/c

If p and q are the greatest values of ""^(2n)C_(r) and ""^(2n-1)C_(r) respectively, then

If S_1=x^2+y^2+2g_1x+2f_1y+c_1=0 and S_2=x^2+y^2+2g_2x +2f_2y+c_2=0 are two circles with radii r_1 and r_2 respectively, show that the points at which the circles subtend equal angles lie on the circle S_1/r_1^2=S_2/r_2^2

Let C_1 be the circle with center O_1(0,0) and radius 1 and C_2 be the circle with center O_2(t ,t^2+1),(t in R), and radius 2. Statement 1 : Circles C_1a n dC_2 always have at least one common tangent for any value of t Statement 2 : For the two circles O_1O_2geq|r_1-r_2|, where r_1a n dr_2 are their radii for any value of tdot (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1 (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1 (c) Statement 1 is true but Statement 2 is false (d) Statement 2 is true but Statement 1 is false