11th full book M.C.Qs

1. F is a real valued function what is the domain of the functions f(x)=3x/x² -16
   -4<x<4  b. x<-4 and x>4                  c. x>4 and x>-4                  d. none
2. If y=f(x), which of the following is a function?
   y²=4x     b. x²+y²=9                           c. /y=2x                                d. none
3. which of the following is a polynomial function?
   f(x)=2x^-2+3x-3    b. f(x)=2x^4/2 +2x-2             c. f(x)=/2x^1/2          d. none
4. if f(x)=2x-1/x+5, then what is the value of f^-1(3)?
   12                           b. -16                                     c. 24                                      d. none
5. If (x)=/x+1 then f^-1 (3)?
   4                              b. -4                                       c. ¼                                        D. none
6. Line A has a slope -3/2 if point (-2,6) and (m,-9) are on line A, then m=……..
   3                             b. 4                                        c. 8                                         d. none
7. Line A has a slope -3/2 if point (-2,6) and (m,-9) are on line A, then m=……..
   3                             b. 4                                        c. 8                                         d. none
8. If the slope of the line joining the point (6,3) and (4,K) is (-3) then k is
   9                              b. 0                                        c.-9                                         d. none
9. X² +y² =0 the represents:
   Parabola              b. hyperbola                       c. eclipse                              d. none
10. The point of concurrency of the following 3 line is
    5x+3y-7=0,          3x-4y-10=0,                        x+2y=0                                
    (1,-2)     b. (2,1)                                  C. (2,-1)                                D. none
11. Th angle between the to bisector of opposite quadrants is :
    80⁰                                       b. 90⁰                                                      c. 60⁰                                                          d. none
12. Find the slope of the tangent to the curve xy+2x+3y-1=0 at the point (0,1/3)
    -7/9        b. 9/7                                    c. 7                                         d. none
13. The line which is parallel to x-axis and crosses the curve y=?x at an angle  of 45⁰  is:
    X=1/4    b. y=1/2                               c. y=1/4                                d. none
14. The distance of the plane 2x-3y+6z+14=0 from the origin :
    14                           b. 2                                        c. 20                                       d. none
15. The area of the triangle bounded by the lines x=0 and y=0 and 4x+5y=0
    20                           b. 10                                      C. 1/10                                  d. none
16. The area of the triangle whose vertices are (11,-12) , (6,2) and (-5,10) is
    58 sq. unit           b. 54 sq. unit                     c. 57sq.u                              d. none
17. Which of the following function has a derivative at x=0
    Y=cos x b. y=sin 1/x                         c. y=x                                    d. none
18. f(t) = 3t²  + 1/t-1  Find f’(-1)
    4                             b. 2                                        C. 1                                        d. none
19. If y=e^sinx+1 then dy/dx=?
    Cox e^sinx+1                   b. e^sinx+1                                                c. cos e^x                                                d. none
20. 1/1-x² =d/dx?
    Tanh^-1 x b. cosh^-1 x                            c. sec^-1 x                                d. none
21. 1/√x² -1= d/dx?
    Tanh^-1 x                        b. cosh^-1 x                            c. sec^-1  x                               d. none
22. 1/x√x² -1= d/dx?
    Tanh^-1 x                        b. cosh^-1 x                            c. sec^-1  x                               d. none
23.  Find the equation the normal to the curve 3x² -y²=8, which is parallel to the line x+3y=5
    3x+y=±8               b. 3y-x=±8                           c. y-3x=±8                            d. none
24. f(t) = 3t²  + 1 Find f’’(-1)
    4                             b. 3                                        C. 1                                        d. none