Processing math: 48%




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41.

A straight line L through the point (3, - 2) is inclined at an angle 60° to the line 3x+y=1 . If L also intersects the X-axis, there the equation of L is


A) y+3x+233=0

B) y3x+2+33=0

C) 3yx+3+23=0

D) 3y+x3+23=0



42.

Let the straight line x = b divide the area enclosed by   y=(1x)2,y=0 and x=0 into two parts R1(0xb)and R2(bx1)   such that R1R2=14


A) 34

B) 12

C) 13

D) 14



43.

Let  a= \widehat{i}+\widehat{j}+\widehat{k},b=\widehat{i}-\widehat{j}+\widehat{k} ans c=\widehat{i}-\widehat{j}-\widehat{k} be three vectors. A vector v in the plane of a and b whose projection  of c is \frac{1}{\sqrt{3}} is given by 


A) \widehat{i}-3\widehat{j}+3\widehat{k}

B) -3\widehat{i}-3\widehat{j}-\widehat{k}

C) 3\widehat{i}-\widehat{j}+3\widehat{k}

D) \widehat{i}+3\widehat{j}-3\widehat{k}



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