At the point P `(a,a^(n))` on the graph of `y=x^(n),(n in N),` in the first quadrant , a normal is drawn. The normal intersects the y-axis as the point `(0,b)If lim_(a to0)b =1/2,` then n equals `"______".`

At the point P(a , a^n) on the graph of y=x^n ,(n in N) , in the first quadrant, a normal is drawn. The normal intersects the y - axis at the point (0, b) . If ("lim")_(avec0)=1/2, then n equals _____.

At the point P(a , a^n) on the graph of y=x^n ,(n in N), in the first quadrant, a normal is drawn. The normal intersects the y-a xi s at the point (0, b)dot If ("lim")_(avec0)b=1/2, then n equals 1 (b) 3 (c) 2 (d) 4

At the point P(a , a^n) on the graph of y=x^n ,(n in N), in the first quadrant, a normal is drawn. The normal intersects the y-a xi s at the point (0, b)dot If ("lim")_(avec0)b=1/2, then n equals 1 (b) 3 (c) 2 (d) 4

At the point P(a,a^(n)) on the graph of y=x^(n)(n in N) in the first quadrant at normal is drawn. The normal intersects the Y-axis at the point (0, b). If underset(ararr0)(lim)b=(1)/(2) , then n equals ……………

If the points A(3,\ 5)a n d\ B(1,\ 4) lie on the graph of the line a x+b y=7, find the values of a\ a n d\ b

lim_(n to oo) n/(2^n)int_0^2x^n \ dx equals

Points (-4,\ 0)a n d\ (7,\ 0) lie (a) on x-axis (b) on y-axis (c) in first quadrant (d) In second quadrant

The slope of normal to the curve x^(3)=8a^(2)y, a gt 0 at a point in the first quadrant is -(2)/(3) , then point is

The tangent to the hyperbola xy=c^2 at the point P intersects the x-axis at T and y- axis at T'.The normal to the hyperbola at P intersects the x-axis at N and the y-axis at N' . The areas of the triangles PNT and PN'T' are Delta and Delta' respectively, then 1/Delta+1/(Delta)' is

The equation of normal to the curve (x/a)^n+(y/b)^n=2(n in N) at the point with abscissa equal to 'a can be