119791 If the length of the chord of the circle, \(x^2+y^2=\) \(r^2(r>0)\) along the line, \(y-2 x=3\) is equal ton \(r\) then \(r^2\) is

119792 Let \(A(1,4)\) and \(B(1,-5)\) be two points. Let \(P\) be a point on the circle \((x-1)^2+(y-1)^2=1\), such that \((\mathrm{PA})^2+(\mathrm{PB})^2\) have maximum value, then the points \(P, A\) and \(B\) lie on

119793 In the circle given below, let, \(\mathrm{OA}=1 \mathrm{Unit}, \mathrm{OB}\) \(=13\) Unit and \(P Q \perp O B\). Then, the area of the triangle \(P Q B\) (In square units) is

119794 Let \(r_1\) and \(r_2\) be the radii of the largest and smallest circles, respectively, which pass through the point \((-4,1)\) and having their centres on the circumference of the circle \(x^2+\) \(y^2+2 x+4 y-4=0\). If \(\frac{r_1}{r_2}=a+b \sqrt{2}\), then \(a+b\) is equal to

119791 If the length of the chord of the circle, \(x^2+y^2=\) \(r^2(r>0)\) along the line, \(y-2 x=3\) is equal ton \(r\) then \(r^2\) is

119792 Let \(A(1,4)\) and \(B(1,-5)\) be two points. Let \(P\) be a point on the circle \((x-1)^2+(y-1)^2=1\), such that \((\mathrm{PA})^2+(\mathrm{PB})^2\) have maximum value, then the points \(P, A\) and \(B\) lie on

119793 In the circle given below, let, \(\mathrm{OA}=1 \mathrm{Unit}, \mathrm{OB}\) \(=13\) Unit and \(P Q \perp O B\). Then, the area of the triangle \(P Q B\) (In square units) is

119794 Let \(r_1\) and \(r_2\) be the radii of the largest and smallest circles, respectively, which pass through the point \((-4,1)\) and having their centres on the circumference of the circle \(x^2+\) \(y^2+2 x+4 y-4=0\). If \(\frac{r_1}{r_2}=a+b \sqrt{2}\), then \(a+b\) is equal to

119791 If the length of the chord of the circle, \(x^2+y^2=\) \(r^2(r>0)\) along the line, \(y-2 x=3\) is equal ton \(r\) then \(r^2\) is

119792 Let \(A(1,4)\) and \(B(1,-5)\) be two points. Let \(P\) be a point on the circle \((x-1)^2+(y-1)^2=1\), such that \((\mathrm{PA})^2+(\mathrm{PB})^2\) have maximum value, then the points \(P, A\) and \(B\) lie on

119793 In the circle given below, let, \(\mathrm{OA}=1 \mathrm{Unit}, \mathrm{OB}\) \(=13\) Unit and \(P Q \perp O B\). Then, the area of the triangle \(P Q B\) (In square units) is

119794 Let \(r_1\) and \(r_2\) be the radii of the largest and smallest circles, respectively, which pass through the point \((-4,1)\) and having their centres on the circumference of the circle \(x^2+\) \(y^2+2 x+4 y-4=0\). If \(\frac{r_1}{r_2}=a+b \sqrt{2}\), then \(a+b\) is equal to

119791 If the length of the chord of the circle, \(x^2+y^2=\) \(r^2(r>0)\) along the line, \(y-2 x=3\) is equal ton \(r\) then \(r^2\) is

119792 Let \(A(1,4)\) and \(B(1,-5)\) be two points. Let \(P\) be a point on the circle \((x-1)^2+(y-1)^2=1\), such that \((\mathrm{PA})^2+(\mathrm{PB})^2\) have maximum value, then the points \(P, A\) and \(B\) lie on

119793 In the circle given below, let, \(\mathrm{OA}=1 \mathrm{Unit}, \mathrm{OB}\) \(=13\) Unit and \(P Q \perp O B\). Then, the area of the triangle \(P Q B\) (In square units) is

119794 Let \(r_1\) and \(r_2\) be the radii of the largest and smallest circles, respectively, which pass through the point \((-4,1)\) and having their centres on the circumference of the circle \(x^2+\) \(y^2+2 x+4 y-4=0\). If \(\frac{r_1}{r_2}=a+b \sqrt{2}\), then \(a+b\) is equal to