English

Find the Equation of the Tangent to the Curve `Y = Sqrt(3x-2)` Which is Parallel to the Line 4x − 2y + 5 = 0. - Mathematics

Advertisements
Advertisements

Question

Find the equation of the tangent to the curve `y = sqrt(3x-2)`  which is parallel to the line 4x − 2y + 5 = 0.

 
Advertisements

Solution

shaalaa.com
  Is there an error in this question or solution?
Chapter 6: Application of Derivatives - Exercise 6.3 [Page 213]

APPEARS IN

NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 6 Application of Derivatives
Exercise 6.3 | Q 25 | Page 213

RELATED QUESTIONS

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

y = x4 − 6x3 + 13x2 − 10x + 5 at (1, 3)


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

y = x3 at (1, 1)


Find the equations of the tangent and normal to the parabola y2 = 4ax at the point (at2, 2at).


Find the slope of the tangent and the normal to the following curve at the indicted point \[y = \sqrt{x^3} \text { at } x = 4\] ?


Find the slope of the tangent and the normal to the following curve at the indicted point  y = x3 − x at x = 2 ?


At what point of the curve y = x2 does the tangent make an angle of 45° with the x-axis?


Find the points on the curve \[\frac{x^2}{9} + \frac{y^2}{16} = 1\] at which the tangent is  parallel to y-axis ?


Who that the tangents to the curve y = 7x3 + 11 at the points x = 2 and x = −2 are parallel ?


Find the equation of the tangent and the normal to the following curve at the indicated point  y = x2 at (0, 0) ?


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) ?


Find the equation of the tangent and the normal to the following curve at the indicated points  x = asect, y = btant at t ?


Find the equation of the tangent line to the curve y = x2 − 2x + 7 which is parallel to the line 2x − y + 9 = 0 ?


Find the equation of the tangent line to the curve y = x2 − 2x + 7 which perpendicular to the line 5y − 15x = 13. ?


Find the equation of the tangent to the curve x = sin 3ty = cos 2t at

\[t = \frac{\pi}{4}\] ?


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


Show that the following set of curve intersect orthogonally x3 − 3xy2 = −2 and 3x2y − y3 = 2 ?


Show that the following curve intersect orthogonally at the indicated point x2 = y and x3 + 6y = 7 at (1, 1) ?


Write the angle made by the tangent to the curve x = et cos t, y = et sin t at \[t = \frac{\pi}{4}\] with the x-axis ?


The equation to the normal to the curve y = sin x at (0, 0) is ___________ .


The equation of the normal to the curve y = x(2 − x) at the point (2, 0) is ________________ .


The point on the curve y2 = x where tangent makes 45° angle with x-axis is ______________ .


The equation of the normal to the curve 3x2 − y2 = 8 which is parallel to x + 3y = 8 is ____________ .


Any tangent to the curve y = 2x7 + 3x + 5 __________________ .


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


The normal to the curve x2 = 4y passing through (1, 2) is _____________ .


The equation of the normal to the curve y = sinx at (0, 0) is ______.


Prove that the curves xy = 4 and x2 + y2 = 8 touch each other.


Show that the line `x/"a" + y/"b"` = 1, touches the curve y = b · e– x/a at the point where the curve intersects the axis of y


The equation of normal to the curve 3x2 – y2 = 8 which is parallel to the line x + 3y = 8 is ______.


The two curves x3 - 3xy2 + 5 = 0 and 3x2y - y3 - 7 = 0


Find a point on the curve y = (x – 2)2. at which the tangent is parallel to the chord joining the points (2, 0) and (4, 4).


If `tan^-1x + tan^-1y + tan^-1z = pi/2`, then


Tangent and normal are drawn at P(16, 16) on the parabola y2 = 16x, which intersect the axis of the parabola at A and B, respectively. If C is the centre of the circle through the points P, A and B and ∠CPB = θ, then a value of tan θ is:


The slope of the tangentto the curve `x= t^2 + 3t - 8, y = 2t^2 - 2t - 5` at the point `(2, -1)` is


An edge of variable cube is increasing at the rate of 3 cm/s. The volume of the cube increasing fast when the edge is 10 cm long is ______ cm3/s.


If (a, b), (c, d) are points on the curve 9y2 = x3 where the normal makes equal intercepts on the axes, then the value of a + b + c + d is ______.


The normal of the curve given by the equation x = a(sinθ + cosθ), y = a(sinθ – cosθ) at the point θ is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×