119851 Given : A circle, \(2 x^2+2 y^2=5\) and parabola \(y^2=4 \sqrt{5} x\).
Statement-I: An equation of a common tangent to these curves is \(y=x+\sqrt{5}\)
Statement-II: If the line, \(y=m x+\frac{\sqrt{5}}{m}(m \neq 0)\) is their common tangent, then \(m\) satisfies \(\mathbf{m}^4-3 m^2+\mathbf{2}=0\)

119853 The tangent at \((1,7)\) to the curve \(x^2=y-6\) touches the circle \(x^2+y^2+16 x+12 y+c=0\) at

119854 If the lines \(3 x-4 y+4=0\) and \(6 x-8 y-7=0\) are tangents to a circle, then radius of the circle is

119855 Let \(A\) be centre of the circle \(x^2+y^2-2 x-4 y-20=0, B(1,7)\) and \(D(4,-2)\) are points on the circle then, if tangents be drawn at \(B\) and \(D\), which meet at \(C\), then area of quadrilateral \(A B C D\) is -

119851 Given : A circle, \(2 x^2+2 y^2=5\) and parabola \(y^2=4 \sqrt{5} x\).
Statement-I: An equation of a common tangent to these curves is \(y=x+\sqrt{5}\)
Statement-II: If the line, \(y=m x+\frac{\sqrt{5}}{m}(m \neq 0)\) is their common tangent, then \(m\) satisfies \(\mathbf{m}^4-3 m^2+\mathbf{2}=0\)

119853 The tangent at \((1,7)\) to the curve \(x^2=y-6\) touches the circle \(x^2+y^2+16 x+12 y+c=0\) at

119854 If the lines \(3 x-4 y+4=0\) and \(6 x-8 y-7=0\) are tangents to a circle, then radius of the circle is

119855 Let \(A\) be centre of the circle \(x^2+y^2-2 x-4 y-20=0, B(1,7)\) and \(D(4,-2)\) are points on the circle then, if tangents be drawn at \(B\) and \(D\), which meet at \(C\), then area of quadrilateral \(A B C D\) is -

119851 Given : A circle, \(2 x^2+2 y^2=5\) and parabola \(y^2=4 \sqrt{5} x\).
Statement-I: An equation of a common tangent to these curves is \(y=x+\sqrt{5}\)
Statement-II: If the line, \(y=m x+\frac{\sqrt{5}}{m}(m \neq 0)\) is their common tangent, then \(m\) satisfies \(\mathbf{m}^4-3 m^2+\mathbf{2}=0\)

119853 The tangent at \((1,7)\) to the curve \(x^2=y-6\) touches the circle \(x^2+y^2+16 x+12 y+c=0\) at

119854 If the lines \(3 x-4 y+4=0\) and \(6 x-8 y-7=0\) are tangents to a circle, then radius of the circle is

119855 Let \(A\) be centre of the circle \(x^2+y^2-2 x-4 y-20=0, B(1,7)\) and \(D(4,-2)\) are points on the circle then, if tangents be drawn at \(B\) and \(D\), which meet at \(C\), then area of quadrilateral \(A B C D\) is -

119851 Given : A circle, \(2 x^2+2 y^2=5\) and parabola \(y^2=4 \sqrt{5} x\).
Statement-I: An equation of a common tangent to these curves is \(y=x+\sqrt{5}\)
Statement-II: If the line, \(y=m x+\frac{\sqrt{5}}{m}(m \neq 0)\) is their common tangent, then \(m\) satisfies \(\mathbf{m}^4-3 m^2+\mathbf{2}=0\)

119853 The tangent at \((1,7)\) to the curve \(x^2=y-6\) touches the circle \(x^2+y^2+16 x+12 y+c=0\) at

119854 If the lines \(3 x-4 y+4=0\) and \(6 x-8 y-7=0\) are tangents to a circle, then radius of the circle is

119855 Let \(A\) be centre of the circle \(x^2+y^2-2 x-4 y-20=0, B(1,7)\) and \(D(4,-2)\) are points on the circle then, if tangents be drawn at \(B\) and \(D\), which meet at \(C\), then area of quadrilateral \(A B C D\) is -