CBSE Guess > Papers > Important Questions > Class XII > 2010 > Maths > Mathematics By Mr Vasu Raj CBSE CLASS XII Q. 1. Whether
If so find the point of contact. Q. 2. Find points at which the tangent to the curve y = x3 – 3x2– 9x + 7 is parallel to the x-axis. Q. 3. Show that the tangents to the curve y = 7x3 + 11 at the points where x = 2 and x = – 2 are parallel. Q. 4. Find the points on the curve y = x3 at which the slope of the tangent is equal to the y-coordinate of the point. Q. 5. Find the equation of the normals to the curve y = x3 + 2x + 6 which are parallel to the line x + 14y + 4 = 0. Q. 6. Find the equation of the tangent to the curve Q. 7. Find the equation of the tangent to Q. 8. Find the equation of the tangent and normal to
Q. 9. Find the tangent and normal to Q. 10. Show that the normal at q to x = acosq+aqsinq and y = asinq-aqcosq is at constant distance from the origin. Q. 11. Find the equation of the normal to x3 +y3 = 8xy where it meet y2 = 4x other than the origin. Q. 12. Show that Q. 13. Find the angle of intersection of the curves xy = a2 and Q. 14. Find the equation(s) of normal(s) to the curve 3x2 - y2 = 8 which is (are) parallel to the line x+3y = 4. Ans: x+3y-8 = 0 and x+3y+8 = 0} Q. 15. For the curve y = 4x3 -2x5, find all the points at which the tangent passes through the origin. Ans: (0,0),(1,2),(-1,-2) Q. 16. Prove that the sum of intercepts of the tangent to the curve with the co-ordinate axes is constant.Paper By Mr Vasu Raj |
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which is parallel to the line 4x - 2y + 5 = 0
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touches 
at the point where the curve crosses y-axis.