हिंदी

The Line Y = Mx + 1 is a Tangent to the Curve Y2 = 4x If the Value of M is - Mathematics

Advertisements
Advertisements

प्रश्न

The line y = mx + 1 is a tangent to the curve y2 = 4x if the value of m is

(A) 1

(B) 2

(C) 3

(D) 1/2

उत्तर

The equation of the tangent to the given curve is y = mx + 1.

Now, substituting y = mx + 1 in y2 = 4x, we get:

Hence, the required value of m is 1.

The correct answer is A.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Application of Derivatives - Exercise 6.6 [पृष्ठ २४४]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 12
अध्याय 6 Application of Derivatives
Exercise 6.6 | Q 21 | पृष्ठ २४४

वीडियो ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्न

 

Prove that the least perimeter of an isosceles triangle in which a circle of radius r can be inscribed is `6sqrt3` r.

 

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).


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  xy = 6 at (1, 6) ?


Find a point on the curve y = x3 − 3x where the tangent is parallel to the chord joining (1, −2) and (2, 2) ?


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


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


At what points on the curve y = 2x2 − x + 1 is the tangent parallel to the line y = 3x + 4?


Find the equation of the normal to y = 2x3 − x2 + 3 at (1, 4) ?


Find the equation of the tangent and the normal to the following curve at the indicated point \[y^2 = \frac{x^3}{4 - x}at \left( 2, - 2 \right)\] ?


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  y2 = 4x at (1, 2)  ?


The equation of the tangent at (2, 3) on the curve y2 = ax3 + b is y = 4x − 5. Find the values of a and b ?


Find the equation of a normal to the curve y = x loge x which is parallel to the line 2x − 2y + 3 = 0 ?


Find the equations of all lines of slope zero and that are tangent to the curve \[y = \frac{1}{x^2 - 2x + 3}\] ?


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


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


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


If the tangent line at a point (x, y) on the curve y = f(x) is parallel to x-axis, then write the value of \[\frac{dy}{dx}\] ?


Find the coordinates of the point on the curve y2 = 3 − 4x where tangent is parallel to the line 2x + y− 2 = 0 ?


Write the angle between the curves y = e−x and y = ex at their point of intersections ?


Write the equation of the tangent drawn to the curve \[y = \sin x\] at the point (0,0) ?


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 + sin x cos x at x = `π/2` is ___________ .


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


At what point the slope of the tangent to the curve x2 + y2 − 2x − 3 = 0 is zero


The angle of intersection of the curves y = 2 sin2 x and y = cos 2 x at \[x = \frac{\pi}{6}\] is ____________ .


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 _____________ .


Find the angle of intersection of the curves \[y^2 = 4ax \text { and } x^2 = 4by\] .

 

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


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


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


Show that the equation of normal at any point on the curve x = 3cos θ – cos3θ, y = 3sinθ – sin3θ is 4 (y cos3θ – x sin3θ) = 3 sin 4θ


Find the equation of the normal lines to the curve 3x2 – y2 = 8 which are parallel to the line x + 3y = 4.


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


Tangents to the curve x2 + y2 = 2 at the points (1, 1) and (-1, 1) are ____________.


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


The number of values of c such that the straight line 3x + 4y = c touches the curve `x^4/2` = x + y is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×