At the point `P(a,a^(n))` on the graph of `y=x^(n),(n in N),` in the first quadrant, a normal is drwn. The normal intersects the y-axis at the point `(0,b)If lim _(ato0) b=1/2,` then n equal

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

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 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

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

Let m ,n are integers with 0

Let m ,n are integers with 0ltnltm . A is the point (m ,n) on the Cartesian plane. B is the reflection of A in the line y=x . C is the reflection of B in the y-axis, D is the reflection of C in the x-axis and E is the reflection of D in the y-axis. The area of the pentagon A B C D E is a. 2m(m+n) b. m(m+3n) c. m(2m+3n) d. 2m(m+3n)