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

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

(lim)_(n to oo)n/(2^n)int_0^2x^n dx equals___

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

Find the area of the region lying in the first quadrant and bounded by y=4x^2 , x = 0, y = 1 a n d y = 4 .

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