You can read and practice, class 12th MATHS MCQS with Answers:
1. The slope of tangent to the curve y = 3x3 — 18x2 + 5 at the points whose abscissa is 2 is
(a) -36 (b) 36 (c)-48 (d) 48
2. The equation of tangent to the curve y = eu at (0, 1) is
(a) y+1=2x (b) 1 —y = 2x (c) y—1=2x (d) none of these
3. The point at which the tangent to the curve y = 2x2 —x + 1 is parallel to the line y = 3x + 9 is
(a) (2,1) (b) (1,2) (c)(3,9) (d)(-2,1)
4. The slope of normal to the curve x2 + 3y + Y2 = 5 at the point (1, 1) is
(a)-2/5 (b)5/2 (c) 2/5 (d) -5/2
5. The equation of normal to the curve 3x2 — Y2 = 8 which is parallel to the line x + 3y = 8 is
(a) 3x—y= 8 (b) 3x+Y=8 (c) x+3y+8=0 (d) x+3y=O
6. The point on the curve Y2 = x, where the tangent makes an angle of — with the x-axis is
(a)(3/4,√ 3/2) (b) (-3/4,√3/2) (c) (√3/2,3/4) (d) (-√3/2,3/4)
7. The equation of the normal to the curve y = tan x at the point (0, 0) is
(a)x + 2y = 0 (b) 2x + y = 0 (c) x-y=0 (d) x+y=0
8. The slope of the normal to the curve y = 3x2 -- 5x 9 at the point (—1, —1) is
(a)11 (b)-11 (c) 1/11 (d) -1/11
9. The point on the curve y = x2 where the slope of the tangent is equal to x-coordinate of the point is
(a) (0,0) (b) (1,1) (c) (-1,1) (d)(1,-1)
10. The points on the curve 2a2y = x3 3ax2 where the tangent is parallel to x-axis are
(a) (0,0),(a,a) (b) (0, 0), (2a, 2a) (c) (0, 0), (2a, -2a) (d) (0, 0), (a, -a)
11. The coordinates of the point where the tangent to the curve y = 2x - x + 1 is parallel to the line y = 3x+ 5 are
(a) (2,1) (b) (1,2) (c) (-1,2) (d) (1,-2)
0 Comments