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 lim_(ararr0)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_(a rarr0)=(1)/(2), then n equals

Points (-4,0) and (7,0) lie on x-a xi s (b) y-a xi s in first quadrant (d) In second quadrant

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

If I_n=int_0^(sqrt(3))(dx)/(1+x^n),(n=1,2,3. .), then find the value of ("lim")_(nvecoo)I_ndot (a)0 (b) 1 (c) 2 (d) 1/2

Find the value of n in N such that the curve ((x)/(a))^(n)+((y)/(b))^(n)=2 touches the straight line (x)/(a)+(y)/(b)=2 at the point (a,b)

If the sub-normal at any point on y=a^(1-n)x^(n) is of constant length,then find the value of n .

A , r = 1 , 2, 3 ….., n are n points on the parabola y^(2)=4x in the first quadrant . If A_(r) = (x_(r),y_(r)) where x_(1),x_(2),….x_(n) are in G.P and x_(1)=1,x_(2)=2 then y_(n) is equal to

Straight lines are drawn by joining m points on a straight line of n points on another line. Then excluding the given points, the number of point of intersections of the lines drawn is (no tow lines drawn are parallel and no these lines are concurrent). a. 4m n(m-1)(n-1) b. 1/2m n(m-1)(n-1) c. 1/2m^2n^2 d. 1/4m^2n^2