Find the `P.D.E` eliningaling or bitary won `alpha and b` brown `z=ox+by+o^2+b^2`

NH_(3)+O_(2)overset("Pt")to(A) (A)+O_(2)to (B) (brown fumes) (B)+H_(2)o to ( C) (nitrogen in lower oxidation state) +(D) (nitrogen in higher oxidation state) ( C) and (D) both are oxoacids of nitrogen. ( C)+I^(-)to (E) (violets vapours). Identify (A),(B),( C),(D) and (E)

Let f (x) = log _e (sinx ), ( 0 lt x lt pi ) and g(x) = sin ^(-1) (e ^(-x)), (x ge 0) . If alpha is a positive real number such that a = ( fog)' ( alpha ) and b = (fog ) ( alpha ) , then (A) aalpha ^(2) - b alpha - a = 0 (B) a alpha ^(2) - b alpha - a = 1 (C) a alpha ^(2) + b alpha - a = - 2 alpha ^(2) (D) a alpha ^(2) + b alpha + a = 0

Find the equation of the line which passes thorugh the point P(alpha, beta, gamma) and is parallel to the line a_1x+b_1y+c_1z+d_1=0, a_2x+b_2y+c_2z+d_2=0

Find the equation of the line which passes thorugh the point P(alpha, beta, gamma) and is parallel to the line a_1x+b_1y+c_1z+d_1=0, a_2x+b_2y+c_2z+d_2=0

If P and Q are represented by the complex numbers z_1 and z_2 such that |1/z_2+1/z_1|=|1/(z_2)-1/z_1| , then a) O P Q(w h e r eO) is the origin of equilateral O P Q is right angled. b) the circumcenter of O P Q is 1/2(z_1+z_2) c) the circumcenter of O P Q is 1/3(z_1+z_2)

If P and Q are represented by the complex numbers z_1 and z_2 such that |1/z_2+1/z_1|=|1/(z_2)-1/z_1| , then a) O P Q(w h e r eO) is the origin of equilateral O P Q is right angled. b) the circumcenter of O P Q is 1/2(z_1+z_2) c) the circumcenter of O P Q is 1/3(z_1+z_2)

From a point O in the interior of a A B C , perpendiculars O D ,\ O E and O F are drawn to the sides B C ,\ C A and A B respectively. Prove that: (i) A F^2+B D^2+C E^2=O A^2+O B^2+O C^2-O D^2-O E^2-O F^2 (ii) A F^2+B D^2+C E^2=A E^2+C D^2+B F^2

In fig. 28.7 if the coordinates of point P a r e (a , b , c) then Write the coordinates of points A, B, C, D, E and F. Write the coordinates of the feet of the perpendiculars from the point P to the coordinate axes. Write the coordinates of the feet of the perpendicular from the point P on the coordinate planes X Y , Y Z a n d Z Xdot Find the perpendicular distances of point P from X Y , Y Z a n d Z X- planes. Find the perpendicular distances of the point P fro the coordinate axes. Find the coordinates of the reflection of P are (a , b , c) . Therefore O A=a , O B=b n d O C=cdot

If a,b,c,d,e and f are in GP, then the value of determinant |{:(a ^(2) , d ^(2) , x), ( b ^(2) , e^(2), y) , (c^(2) , f^(2), z}| depends on a) x and y b) x and z c) y and z d) independent of x,y,z