20.If log_10x<0 , then
A. x<0 B.-1<x<0 C. -1<x<1 D. 0<x<1 E. x>1
21. If log_10x=0.35, then log_10√x=……….
A. -1.75 B.-0.175 C. 0.175 D. 3.5 E. 0.7
22. Simplify (log√x+log〖x^(3/2) 〗)/(4 log√x )
A.logx B.1 C.0 D.1/2 logx E.2
23. Solve the inequality xlog_100.1>log_1010.
A. x<-1 B. x<1 C. x>1 D. x>100 E. x>-1
24. If log(p+q)= logp-logq , then p=……….
A. p=q=1 B. p=q/(1-q) C. p=q^2/(1-q) D. p= q/(1+q) E. p=q^2/(1+q)
25.If loga=5, logb =3, then the value of a/b is
A. 5/3 B. 2 C. 8 D. log〖5/3〗 E.100
26. Given that log_a2 =0.301 and log_a3 =0.477, then =……..
A. 0.125 B. -0.125 C. 0.301 D. -1.125 E. 1.125
27. If 2log_p8-log_p4=2, then p=……….
A. 4 B. -4 C. 4 (or) 2 D. 4 (or) -4 E. 2
28. log_(1/9)((x-1)/(x+2)) = 1/2; x=………
19.The line 3x + 4y=12 cuts the Y-axis at
A.(0,2) B.(2,0) C.(3,0) D.(0,3) E.(0,4)
20. Which of the following points, lies on the line 2x+y=6?
1. (1,4) 2.(0,6) 3.(2,0)
A.1 only B. 2only C. 1and3 only D. 2and3 only E. 2 and 3 only
21. PQRS is a rectangle with the points P(-1,0) , Q(2,0) and R(2,3). Then the coordinate of
the point S is
A.(2,5) B.(1,5) C.(-2,4) D.(-1,3) E.(2,4)
22. The distance between the points (0,y) and the origin is 5. Then y=…….
A.5 B.-5 C.±5 D.25 E. undefined
23.A triangle has vertices at (-3,0), (4,0) and (0,8). The area of the triangle is
A.56 B.28 C.-4 D.-28 E. None of these
24. A pairs of the points (2,-3) and (x,4) lies on the line parallel to Y-axis, then x=………
25. In an equilateral △ABC, A(2,3), B(-1,-1), find BC.
A.5 B.-5 C.-3 D.-9 E.2