Slope of common tangents of parabola (`x-1)^(2)=4(y-2)` and ellipse `(x-1)^(2)+((y-2)^(2))/(2)=1` are `m_(1)` and `m_(2)` then `m_(1)^(2)+m_(2)^(2)` is equal to

The equation of the common tangents of the parabolas y^(2)=4x and an ellipse (x^(2))/(4)+(y^(2))/(3)=1 are

If m is the slope of a common tangent of the parabola y^(2)=16x and the circle x^(2)+y^(2)=8 , then m^(2) is equal to

The slope of common tangents to x^(2)+4y^(2)=4 and x^(2)+y^(2)=3 is m ,then m^(2) is

If y=e^(m cos^(-1)x) , then (1-x^(2))y_(2)-xy_(1)-m^(2)y is equal to

The slopes of the tangents to the curve y=(x+1)(x-3) at the points where it cuts the x - axis, are m_(1) and m_(2) , then the value of m_(1)+m_(2) is equal to

If m_(1) and m_(2) are slopes of the tangents to the ellipse (x^(2))/(16)+(y^(2))/(9)=1 which passes through (5, 4), then the value of (m_(1)+m_(2))-(m_(1)m_(2)) is equal to

If m_(1) and m_(2) are the slopes of tangents to x^(2)+y^(2)=4 from the point (3,2), then m_(1)-m_(2) is equal to

Let m be slope of a common tangent to the circle x^2+y^2 = 4 and the ellipse x^2/6+y^2/3=1 , then m^2 equals ( sqrt2 =1.41 )