Equation of Tangent at a Point (x,y) in Terms of f'(x)
Trending Questions
Q. The equation of tangent to curve y = e−x at the points where the curve cuts the line x = 1 is
- e (x + y) = 1
- x+ y = e
- y + ex = 1
- ey+x=2
Q. The angle at which curve y = kekx intersects the y axis is
- tan−1 (k2)
- cot−1 (k2)
- sin−1 1k2
- None of these
Q. The equation of a line passing through (−2, 3) and parallel to the tangent at origin for circle x2+y2+x−y=0 is:
- x−y−1=0
- x−y+5=0
- x−y+3=0
- x−y−5=0
Q. If y = 4x - 5 is a tangent to the curve y2 = px3 + q at (2, 3) then :
- p = -2, q = 7
- p =2, q = 7
- p = 2, q = -7
- p = -2, q = -7
Q. If the tangent at (1, 1) on y2 = x(2 − x)2 meets the curve again at P, then P is
- (4, 4)
- (-1, 2)
- (0, 0)
- (94, 38)
Q. If ‘P’ be a point on the graph of y = x1 + x2 then co-ordinates of ‘P’ such that tangent drawn to the curve at ‘P’ has greatest slope in magnitude is
- (√3, √34)
- (0, 0)
- (−√3, −√34)
- (1, 1)
Q.
The tangent to the curve x2+y2=25 parallel to the line 3x-4y=7 exist at the point
(-3, -4)
(3, -4)
(3, 4)
(1, 1)
Q. The tangent to the curve x = a√cos2θcosθ, y=a√cos2θsinθ at the point corresponding to θ=π6 is
- parallel to the x-axis
- None of these
- parallel to the y-axis
- parallel to line y = x
Q.
The portion of the tangent at any point on the curve x=at3, y=at4 between the axes is divided by the abscissa of the point of contact externally in ratio
14
32
25
34
Q. The coordinates of the point P on the curve y2 = 2x3, at which the tangent is perpendicular to the line 4x - 3 y + 2 = 0, are given by
- (1, √2)
- (2, 4)
- (12, −12)
- (18, −116)