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,7), B(5,-5) and C(10,7). The area of △ABC is
A.50 B.60 C.80 D.120 E.140
30.△ABC is an isosceles right triangle with ∠B=90°. If A(3,-2),B(2,-1), then AC=…
A. 2 B.1 C.2 D.3 E.4
- What is the perimeter of a triangle with vertices at the points (1,4),(1,7) and (4,4)?
A. 3+2 B.32 C.6 D.6+32 E.9+32
32.The point on the X-axis which is equidistance from (4,4) and (5,3) is
A. (0,0) B.(-1,0) C.(2,0) D.(1,0) E.(3,0) - The slope of the equation 2x-y=7 is
A. -2 B.2 C.-7 D.7 E.-72
34.Which of the following statement(s) is (are) true?
1.The line 2x=3 is parallel to Y-axis.- The line x+y=2 and 2x+2y=7 are parallel.
- The distance between the points (0,3) and (0,-3) is 6.log3M=3logM 3.logaM =2logaM
A. 1 only B. 2 only C. 3 only D. 1 and only E. None of them
6.Which of the following is (are) true? - log4x=2log16x 2. logbx=3 logb3x 3. log416= log164
A. 1only B. 2 only C. 3 only D. 1 and 2 only E. 1 and 3 only
- 101+log103=……..
A.3 B.30 C. 310 D.103 E.15
8.4log23=……..
A.3 B.-6 C.9 D.12 E.15 - log35× log2527=………….
A.32 B.23 C.527 D.325 E. 5×27
10.If x=logba,y=logcb,z=logac, then xyz=…………
A. 0 B. 1 C.-1 D. abc E. a+b+c - If log2=a, then =…….
A.a2 B.2.5a C.1+a D.1-a E.12a
12.If log2=a, log3=b, then log144=………….
A. a4b2 B.4a+2b C.8ab D. a2b2 E. None of them - 3+log25=……..
A.log240 B.log24 C.log2150 D. log215 E.log260 - log0.01=………
A. 2 B. -2 C.12 D.-12 E.0 - log240+log20.1+log20.25=……….
A. 0 B. 1 C.2 D. 3 E.4 - log222=………
A. 23 B.1 C.112 D.-32 E.-23 - logx-22x2-10x+13 = 1; x=?
A.-3 B.-52 C. 52 D. 25 E. 3 or52 - If log2=m , then log85 =………
A. 1-m3m B.13m C. 3-mm D. 1-m3 E.3-mm
19.Solve logx×log12x+7 =1
A. 13 (or) -23 B. 25 (or) 23 C.-54 D.23 E. 23 ( or) -54
A.1 only B. 2only C. 1and3 only D. 2and3 only E. 1,2 and 3
35.The slope of the line which is perpendicular to the line 2y=3x+4 is
A.-23 B.1.5 C.4 D.13 E.2
- The points (0,3) , (4,0) line on the line,
A.4y=3x B.3x+4y=1 C.4x+3y=1 D.3x+4y=12 E.4x+3y=12
- A straight line passing through the points (0,1) and (2,7).The equation of the line is
A. y=-3x-1 B. y=3x-1 C. y=3x+1 D. y=3x7-1
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