[" (b) "x-2y<=3,3x+4y>=12,x>=0,y>=1],[" (N.C.E.R "]

The equations of two equal sides A Ba n dA C of an isosceles triangle A B C are x+y=5 and 7x-y=3 , respectively. Then the equation of side B C if a r( A B C)=5u n i t^2 is x-3y+1=0 (b) x-3y-21=0 3x+y+2=0 (d) 3x+y-12=0

The equations of two equal sides A Ba n dA C of an isosceles triangle A B C are x+y=5 and 7x-y=3 , respectively. Then the equation of side B C if a r( A B C)=5u n i t^2 is x-3y+1=0 (b) x-3y-21=0 3x+y+2=0 (d) 3x+y-12=0

Suppose A and B are two sets given as follows: A = {{x,y):x,y in R " and " y =2e^(x)} B={(x,y):x,y in R " and " y=2x+1}

The differential equation which represents the family of curves y=e^(C x) is y_1=C^2y b. x y_1-I n\ y=0 c. x\ I n\ y=y y_1 d. y\ I n\ y=x y_1

In some question of sets, we have to make the use of graphs For example A={(x,y):y=e^(x), x in R} B={{x,y}: y=-x. x in R} Find n(A cap B) It is clear that y=e^(x) and y=-x intersect at one pont. Hence n(A cap B)=1 A:{(x,y):y=sqrt(4-x^(2)), x in [-2,2]} B={(x,y):y=|x|, x in R} Then n(A cap B)

In some question of sets, we have to make the use of graphs For example A={(x,y):y=e^(x), x in R} B={{x,y}: y=-x. x in R} Find n(A cap B) It is clear that y=e^(x) and y=-x intersect at one pont. Hence n(A cap B)=1 A:{(x,y):y=sqrt(4-x^(2)), x in [-2,2]} B={(x,y):y=|x|, x in R} Then n(A cap B)

The family of curves passing through (0,0) and satisfying the differential equation y_2/y_1=1 ("where", y_n=(d^ny)/dx^n) is (A) y=k (B) y=kx (C) y= k(e^x +1) (C) y= k(e^x -1)

If a,b,c>0 and x,y,z in R then |[(a^x+a^(-x))^2, (a^x-a^(-x))^2, 1] , [(b^y+b^(-y))^2, (b^y-b^(-y))^2, 1], [(c^z+c^(-z))^2, (c^z-c^(-z))^2, 1]|=

The equations of the sides A B ,\ B C\ a n d\ C A\ of\ "Delta"A B C\ a r e\ y-x=2,\ x+2y=1\ a n d\ 3x+y+5=0 respectively. The equation of the altitude through B is x-3y+1=0 b. x-3y+4=0 c. 3x-y+2=0 d. none of these

The equations of the sides A B ,\ B C\ a n d\ C A\ of\ "triangle"A B C\ a r e\ y-x=2,\ x+2y=1\ a n d\ 3x+y+5=0 respectively. The equation of the altitude through B is x-3y+1=0 b. x-3y+4=0 c. 3x-y+2=0 d. none of these