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ASHITSIR, , , , , , , , , , , , CHAPTERS : 6 Std 12: MATHS Date : 26/10/21, TOTAL MARKS : 30 CHAPTER TEST #concept, e Choose correct answer from the given options. [Each carries 2 Marks] [30], 1. The point on the curve y* + 32% = 12y where the tangent is vertical Is .........., (4 vi 4, +—=,-2 | (*%. 2], ww |*75 ) (B) ( 3 (© ©, 0) ) |=, 2. A tangent drawn to the curve x = e cos f, y = e sin fat f = & makes an angle ......... with positive, side of X- axis., B) = o* p) =, (A) 0 By Oa ) >, 3. The approximate value of sin7'(0.51) is ...00., x 1 nll of zl, ‘5 505 8) 37 505 © 3” 503 ) § * 50V3, 4. ‘If there is an error 4% in the area of circle, then the error in radius is .........., (A) 1% (B) 2% (C) 3% (D) 4%, 5, There is 4% crror in measuring the period of a simple pendulum. The approximate percentage, error in length is ......, (A) 4% (B) 8% (C) 2% (D) 6%, 6.‘ The circumference of a circle is 20 cm and there is an error of 0.02 cm in its measurement. The, approximate percentage error In area is ......, (A) 0.02 (B) 02 (rn +, 7. Tangent to y=5x°+10x+15 ..., (A) is always vertical, (B) is always horizontal, (C) makes acute angle with the positive X-axis, (D) makes obtuse angle with the positive X-axis, 8. f(x) = xlogx has minimum value..., (a) 1 (B) 0 Me m 2, 9 f(%) = (e+ 2)e* is Increasing in ......, (A) (—»,-1) (B) -1,-~) (C) (2, ) (D) R*, 10. ‘The equation of tangent to y= cos x at (0, 1) is ......, (A) x=0 (B) y=0 (©) x=1 (D) y=1, i. The rate of change of surface area of a sphere w.nt. radius is ......, (A) & x (diameter) (B) 3% (diameter) (C) 4m (radius) (D) 8a (radius), 12, fix) =2x-tane! x-log|x+ Ji4x? | is... ve R), (A) increasing on R (B) decreasing on R, (C) has a minimum at x=1 (D) has a maximum at x=1, 13. y= mx+4 touches y? = 6x, if m = ..., 1 1, (YF (B) -5 (C2 (D) -2, 14. The local minimum value of x7418 (#0) is wu, , DO YOUR BEST
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15., , (A) 12, , (B) 22, , (C) -12, , f(x) =2%+4x+5 has minimum value .........(¢e€ R), , (A) 4, , (B) 2, , @, , DO YOUR BEST, , (D) 2, , @)-1
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