Science (English Medium) इयत्ता १२ - CBSE Question Bank Solutions for Mathematics

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 ?

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

Who that the tangents to the curve y = 7x³ + 11 at the points x = 2 and x = −2 are parallel ?

Find the points on the curve y = x³ where the slope of the tangent is equal to the x-coordinate of the point ?

Find the equation of the tangent to the curve \[\sqrt{x} + \sqrt{y} = a\] at the point \[\left( \frac{a^2}{4}, \frac{a^2}{4} \right)\] ?

Find the equation of the normal to y = 2x³ − x² + 3 at (1, 4) ?

Find the equation of the tangent and the normal to the following curve at the indicated point y = x⁴ − bx³ + 13x² − 10x + 5 at (0, 5)  ?

 Find the equation of the tangent and the normal to the following curve at the indicated point y = x⁴ − 6x³ + 13x² − 10x + 5 at x = 1? 

Find the equation of the tangent and the normal to the following curve at the indicated point  y = x² at (0, 0) ?

Find the equation of the tangent and the normal to the following curve at the indicated point y = 2x² − 3x − 1 at (1, −2) ?

Find the equation of the tangent and the normal to the following curve at the indicated point \[y^2 = \frac{x^3}{4 - x}at \left( 2, - 2 \right)\] ?

Find the equation of the tangent and the normal to the following curve at the indicated point y = x² + 4x + 1 at x = 3  ?

Find the equation of the tangent and the normal to the following curve at the indicated point\[\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \text{ at }\left( a\cos\theta, b\sin\theta \right)\] ?