Home
Class 12
MATHS
Tangent is drawn at the point (xi ,yi) o...

Tangent is drawn at the point `(x_i ,y_i)` on the curve `y=f(x),` which intersects the x-axis at `(x_(i+1),0)` . Now, again a tangent is drawn at `(x_(i+1,)y_(i+1))` on the curve which intersect the x-axis at `(x_(i+2,)0)` and the process is repeated `n` times, i.e. `i=1,2,3dot,ndot` If `x_1,x_2,x_3,ddot,x_n` from an arithmetic progression with common difference equal to `(log)_2e` and curve passes through `(0,2)dot` Now if curve passes through the point `(-2, k),` then the value of `k` is____

Promotional Banner

Similar Questions

Explore conceptually related problems

Tangent is drawn at the point (x_(i), y_(i)) on the curve y = f(x), which intersects the x-axis at (x_(i+1), 0) . Now again tangent is drawn at (x_(i+1), y_(i+1)) on the curve which intersects the x-axis at (x_(i+2), 0) and the process is repeated n times i.e. i = 1, 2, 3,......,n. If x_(1), x_(2), x_(3),...,x_(n) form a geometric progression with common ratio equal to 2 and the curve passes through (1, 2), then the curve is

The tangent drawn at the point (0, 1) on the curve y=e^(2x) meets the x-axis at the point -

The tangent drawn at the point (0,1) on the curve y = e^(2x) meets x-axis at the point

Statement I Tangent drawn at the point (0, 1) to the curve y=x^(3)-3x+1 meets the curve thrice at one point only. statement II Tangent drawn at the point (1, -1) to the curve y=x^(3)-3x+1 meets the curve at one point only.

Statement I Tangent drawn at the point (0, 1) to the curve y=x^(3)-3x+1 meets the curve thrice at one point only. statement II Tangent drawn at the point (1, -1) to the curve y=x^(3)-3x+1 meets the curve at one point only.

Statement I Tangent drawn at the point (0, 1) to the curve y=x^(3)-3x+1 meets the curve thrice at one point only. statement II Tangent drawn at the point (1, -1) to the curve y=x^(3)-3x+1 meets the curve at one point only.

Statement I Tangent drawn at the point (0, 1) to the curve y=x^(3)-3x+1 meets the curve thrice at one point only. statement II Tangent drawn at the point (1, -1) to the curve y=x^(3)-3x+1 meets the curve at one point only.

The tangent to the curve y=x^(2)+3x will pass through the point (0,-9) if it is drawn at the point

The slope of the tangent at (x , y) to a curve passing through a point (2,1) is (x^2+y^2)/(2x y) , then the equation of the curve is