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 
which is parallel to the line 4x - 2y + 5 = 0
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 
touches 
at the point where the curve crosses y-axis.
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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Ph No. : 9940116934
