If `x\ a n d\ y` are co-primes, then their LCM is (a)1 (b) `x/y` (c) `x y` (d) None of these

If x\ a n d\ y are two co-primes, then their LCM is (a) x y (b) x+y (c) x/y (d) 1

The locus of the center of the circle touching the line 2x-y=1 at (1,1) is (a) x+3y=2 (b) x+2y=2 (c) x+y=2 (d) none of these

A B C is a variable triangle such that A is (1,2) and B and C lie on line y=x+lambda (where lambda is a variable). Then the locus of the orthocentre of triangle A B C is (a) (x-1)^2+y^2=4 (b) x+y=3 (c) 2x-y=0 (d) none of these

If a x^2+2h x y+b y^2=0, then (dy)/(dx) is equal to y/x (b) x/y (c) (d) None of these

If a x^2+2h x y+b y^2=0, then (dy)/(dx) is equal to y/x (b) x/y (c) (d) None of these

The product of x\ a n d\ y is decreased by 4 is written as (a) 4-x y (b) x\ (y-4) (c) x y-4 (d) x y+4

If y=(sin^(-1)x)^2,\ then (1-x^2)y_2 is equal to x y_1+2 (b) x y_1-2 (c) x y_1+2 (d) none of these

If f^(prime)(x)=sqrt(2x^2-1) and y=f(x^2),t h e n(dy)/(dx) at x=1 is (a)2 (b) 1 (c) -2 (d) none of these

If f(x)=lim_(n->oo)n(x^(1/n)-1),then for x >0,y >0,f(x y) is equal to : (a) f(x)f(y) (b) f(x)+f(y) (c) f(x)-f(y) (d) none of these

The area {(x,y) : |x| ge y ge x^2} is equal to (A) 1/12 (B) 1/6 (C) 1/3 (D) none of these