Find the equation of tangent to the curve x² + 3y = 3, which is parallel to line y – 4x + 5 = 0.
Find the slope of tangent to the curve y = 3x² – 6 at the point on it whose x-coordinate is 2.
Find the equations of the normal to the curve x² = 4y which passes through the point (1, 2).
Find the equation of the tangent to the curve y = x⁴ – 6x³ + 13x² – 10x + 5 at point x = 1, y = 0.
Find the equations of tangents to the curve y = (x²– 1) (x – 2) at the points, where the curve cuts the X-axis.
Find the particular solution of the differential equation satisfying the given condition given that y = 1, when x = 0.
Find the particular solution of the following differential equation :
y = 0, when x = 2.
Show that the function f in A = defined as f(x) = is one-one and onto. Hence find
Form the differential equation of the family of circles in the second quadrant and touching the co-ordinate axes.
P speaks truth in 70% of the cases and Q in 80% of the cases. In what percent of cases are they likely to agree
in stating the same fact ?
Find the equation of tangent to the curve x² + 3y = 3, which is parallel to line y – 4x + 5 = 0.