Statement-I: The orthogonal trajectory to the curve ( x - a )2+( y - b )2= r 2 is y = mx + b - am where a and b are fixed numbers and r m are paramelers. because Statement-II: In a plane, the line that passes through the centre of circle is normal to the circle.

Question

Statement-I: The orthogonal trajectory to the curve ( x - a )2+( y - b )2= r 2 is y = mx + b - am where a and b are fixed numbers and r m are paramelers. because Statement-II: In a plane, the line that passes through the centre of circle is normal to the circle. (A) Statement-I is true, Statement-II is true ; Statement-II is correct explanation for Statement-I. (B) Statement-I is true, Statement-II is true ; Statement-II is NOT a correct explanation for statement-I. (C) Statement-I is true, Statement-II is false. (D) Statement-I is false, Statement-II is true.

Tardigrade Admin · Accepted Answer

Correct answer is (a) Statement-I is true, Statement-II is true ; Statement-II is correct explanation for Statement-I.

Q. Statement-I : The orthogonal trajectory to the curve (x−a)2+(y−b)2=r2 is y=mx+b−am where a and b are fixed numbers and r \& m are paramelers. because Statement-II : In a plane, the line that passes through the centre of circle is normal to the circle.

Statement-I is true, Statement-II is true ; Statement-II is correct explanation for Statement-I.

Statement-I is true, Statement-II is true ; Statement-II is NOT a correct explanation for statement-I.

Statement-I is true, Statement-II is false.

Statement-I is false, Statement-II is true.

Correct answer is (a) Statement-I is true, Statement-II is true ; Statement-II is correct explanation for Statement-I.

Q. Statement-I : The orthogonal trajectory to the curve $(x - a)^{2} + (y - b)^{2} = r^{2}$ is $y = m x + b - am$ where a and b are fixed numbers and r \& m are paramelers. because
Statement-II : In a plane, the line that passes through the centre of circle is normal to the circle.