हिंदी

Find the Slope of the Tangent to the Curve Y = (X -1)/(X - 2), X != 2 At X = 10. - Mathematics

Advertisements
Advertisements

प्रश्न

Find the slope of the tangent to the curve y = (x -1)/(x - 2), x != 2 at x = 10.

Advertisements

उत्तर

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Application of Derivatives - Exercise 6.3 [पृष्ठ २११]

APPEARS IN

एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 6 Application of Derivatives
Exercise 6.3 | Q 2 | पृष्ठ २११

वीडियो ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्न

Show that the equation of normal at any point t on the curve x = 3 cos t – cos3t and y = 3 sin t – sin3t is 4 (y cos3t – sin3t) = 3 sin 4t


Find the equation of all lines having slope 2 which are tangents to the curve `y =   1/(x- 3), x != 3`


Find points on the curve `x^2/9 + "y"^2/16 = 1` at which the tangent is parallel to x-axis.


Find the equations of the tangent and normal to the given curves at the indicated points:

x = cos ty = sin t at  t = `pi/4`


Find the equation of the normals to the curve y = x3 + 2+ 6 which are parallel to the line x + 14y + 4 = 0.


Find the equations of the tangent and normal to the hyperbola `x^2/a^2 - y^2/b^2` at the point `(x_0, y_0)`


Find the points on the curve y = `4x^3 - 3x + 5` at which the equation of the tangent is parallel to the x-axis.


Find the slope of the tangent and the normal to the following curve at the indicted point x = a (θ − sin θ), y = a(1 − cos θ) at θ = −π/2 ?


Find the point on the curve y = x2 where the slope of the tangent is equal to the x-coordinate of the point ?


At what points on the circle x2 + y2 − 2x − 4y + 1 = 0, the tangent is parallel to x-axis?


Find the point on the curve y = 3x2 + 4 at which the tangent is perpendicular to the line whose slop is \[- \frac{1}{6}\]  ?


Find the points on the curve y = x3 where the slope of the tangent is equal to the x-coordinate of the point ?


Find the equation of the tangent and the normal to the following curve at the indicated point xy = c2 at \[\left( ct, \frac{c}{t} \right)\] ?


Find the equation of the tangent and the normal to the following curve at the indicated point  \[x^\frac{2}{3} + y^\frac{2}{3}\] = 2 at (1, 1) ?


At what points will be tangents to the curve y = 2x3 − 15x2 + 36x − 21 be parallel to x-axis ? Also, find the equations of the tangents to the curve at these points ?


Find the angle of intersection of the following curve  y = x2 and x2 + y2 = 20  ?


Find the angle of intersection of the following curve x2 + y2 − 4x − 1 = 0 and x2 + y2 − 2y − 9 = 0 ?


Find the angle of intersection of the following curve \[\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\] and x2 + y2 = ab ?


Show that the following set of curve intersect orthogonally x2 + 4y2 = 8 and x2 − 2y2 = 4 ?


Show that the following curve intersect orthogonally at the indicated point x2 = 4y and 4y + x2 = 8 at (2, 1) ?


Find the slope of the tangent to the curve x = t2 + 3t − 8, y = 2t2 − 2t − 5 at t = 2 ?


Write the equation of the normal to the curve y = x + sin x cos x at \[x = \frac{\pi}{2}\] ?


Write the angle between the curves y2 = 4x and x2 = 2y − 3 at the point (1, 2) ?


If the curves y = 2 ex and y = ae−x intersect orthogonally, then a = _____________ .


The angle of intersection of the parabolas y2 = 4 ax and x2 = 4ay at the origin is ____________ .


The point on the curve 9y2 = x3, where the normal to the curve makes equal intercepts with the axes is

(a) \[\left( 4, \frac{8}{3} \right)\]

(b) \[\left( - 4, \frac{8}{3} \right)\]

(c) \[\left( 4, - \frac{8}{3} \right)\]

(d) none of these

 


Find the equation of tangents to the curve y = cos(+ y), –2π ≤ x ≤ 2π that are parallel to the line + 2y = 0.


Find the equation of a tangent and the normal to the curve `"y" = (("x" - 7))/(("x"-2)("x"-3)` at the point where it cuts the x-axis


Find the equation of tangent to the curve `y = sqrt(3x -2)` which is parallel to the line 4x − 2y + 5 = 0. Also, write the equation of normal to the curve at the point of contact.


Find the condition for the curves `x^2/"a"^2 - y^2/"b"^2` = 1; xy = c2 to interest orthogonally.


The equation of tangent to the curve y(1 + x2) = 2 – x, where it crosses x-axis is ______.


The tangent to the curve y = e2x at the point (0, 1) meets x-axis at ______.


The slope of tangent to the curve x = t2 + 3t – 8, y = 2t2 – 2t – 5 at the point (2, –1) is ______.


The line y = x + 1 is a tangent to the curve y2 = 4x at the point


Find the points on the curve `y = x^3` at which the slope of the tangent is equal to the y-coordinate of the point


If the curves y2 = 6x, 9x2 + by2 = 16, cut each other at right angles then the value of b is ______.


Two vertical poles of heights, 20 m and 80 m stand apart on a horizontal plane. The height (in meters) of the point of intersection of the lines joining the top of each pole to the foot of the other, From this horizontal plane is ______.


The normals to the curve x = a(θ + sinθ), y = a(1 – cosθ) at the points θ = (2n + 1)π, n∈I are all ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×