Question

c) 1-20) Choose the correct answer 1) If x=3 then xe...... b) =) d) 0.3) 2) The inequality notation for (-25) is...... a) -2s155 b ) 3<355 c) 155 c) (4) 3) If 2x+123 then xe... a) (2) b) =) d) L) 4)If -5<2x+1=3 then a) -3,1) b)-30 d) -66) 5) The solutions for * -5x+6- a) {1,-1) b) {1,1) c)(-6,41 c) {2, 6) The solutions for a) (-2,13 {2,-1) d) {1,1) 7) If a c then b) (2,1) 8) The solutions for \'+2x-1- c) - 9)The numbers of real roots for the equation 2-4-2 a) One real root (double) b) Two real roots c) Three real roots d) No real roots 10) The domain of r-62-21 is a) -- 2)U(2) b)--) c) - 60(6) 11) The domain of a) DUAL) i s b) (-,-) c) -- UC-L)

Answer 1

1). a

2). b

3). d

4). b

5). c

6). c

7). c

8). a

9). b

10). b

11). c

So 2). so If x cs then - co ex con xe (0,3) ag u true. (-2,5] is semi-close topen-close) internal - 2 < x 25. so (b) is true. = x 21 3). axt 1 2 3 = gx > 2 so x & [1,000 The (de is bele. 4). -s (2x+) 43 = - -5-1 42x43-1 - 6 < 2x C2 - 3 cx al x € (-3, 1) so (be is trelle S x² – 5 x + 6 =0) = =) x² – 3x - 2x + 620 x (x-3) — 2(2-3) = 0 (2-3) OC-29=0 X - 303 X = 2 {2,3} U so (6) (c) is trell. (3-) 2= 2 - => (3-) 1 = X) = 17 نمازیں ای درام No ان جان و s. (c) y {2,-1}

(7). This is Shree Dharacharya formeda. x- abt 162 990 29 es is true. so 2x² - 4x - 2 = 0 x = 4 7 J 16 - 4X29)X2 (by above formada) - 2x2 - 4 I J 16+8 4 2 88 4 416 as a = √2x2 xg. 2 = 20%9-12 - Det (both roote are real So Gotion - 2 (1152) so option (br is troll I (89 3x2 + 2x - 3x² + 3x -x-1=0 - 38C % +12.-10%+1 - 6 -) (304) (3 x) =0) 2 = -1, so option 99 is telle {-1 27 f(x) = 6x² - Qadi since fees is a polynomial Janction so dorraina whole real line i.e. -oooo) (-0, -1) UF1,00) so 1) option (b) is true, (-4, does not contain: UM 90X Det This function is not defined, x=-1. So domain mest he So option (6) is true dain al lence domain i Ras end hot con in is R-{-1} NAVNEET