Arts (English Medium) इयत्ता १२ - CBSE Question Bank Solutions

Find the slope of the tangent and the normal to the following curve at the indicted point  x² + 3y + y² = 5 at (1, 1)  ?

Find the slope of the tangent and the normal to the following curve at the indicted point  xy = 6 at (1, 6) ?

Find a point on the curve y = x³ − 3x where the tangent is parallel to the chord joining (1, −2) and (2, 2) ?

Find the points on the curve y = x³ − 2x² − 2x at which the tangent lines are parallel to the line y = 2x− 3 ?

Find the points on the curve y² = 2x³ at which the slope of the tangent is 3 ?

Find the points on the curve xy + 4 = 0 at which the tangents are inclined at an angle of 45° with the x-axis ?

Find the point on the curve y = x² where the slope of the tangent is equal to the x-coordinate of the point ?

Find the points on the curve y = 3x² − 9x + 8 at which the tangents are equally inclined with the axes ?

At what points on the curve y = 2x² − x + 1 is the tangent parallel to the line y = 3x + 4?

Find the point on the curve y = 3x² + 4 at which the tangent is perpendicular to the line whose slop is \[- \frac{1}{6}\]  ?

Find the points on the curve x² + y² = 13, the tangent at each one of which is parallel to the line 2x + 3y = 7 ?

Find the points on the curve 2a²y = x³ − 3ax² where the tangent is parallel to x-axis ?

At what points on the curve y = x² − 4x + 5 is the tangent perpendicular to the line 2y + x = 7?

Find the points on the curve \[\frac{x^2}{4} + \frac{y^2}{25} = 1\] at which the tangent is parallel to the x-axis ?

Find the points on the curve\[\frac{x^2}{4} + \frac{y^2}{25} = 1\] at which the tangent is  parallel to the y-axis ?

Find the points on the curve \[\frac{x^2}{9} + \frac{y^2}{16} = 1\] at which the tangent is  parallel to x-axis ?