Advertisements
Advertisements
प्रश्न
The points on the curve 9y2 = x3, where the normal to the curve makes equal intercepts with the axes are
(A)`(4, +- 8/3)`
(B) `(4,(-8)/3)`
(C)`(4, +- 3/8)`
(D) `(+-4, 3/8)`
Advertisements
उत्तर
The equation of the given curve is 9y2 = x3.
Differentiating with respect to x, we have:
It is given that the normal makes equal intercepts with the axes.
Therefore, We have:
The correct answer is A.
संबंधित प्रश्न
Find the approximate value of ` sqrt8.95 `
Using differentials, find the approximate value of the following up to 3 places of decimal
`sqrt(25.3)`
Using differentials, find the approximate value of the following up to 3 places of decimal
`sqrt(0.6)`
Using differentials, find the approximate value of the following up to 3 places of decimal
`(0.999)^(1/10)`
Using differentials, find the approximate value of the following up to 3 places of decimal
`(0.0037)^(1/2)`
Find the approximate value of f (2.01), where f (x) = 4x2 + 5x + 2
Find the approximate change in the surface area of a cube of side x metres caused by decreasing the side by 1%
Using differentials, find the approximate value of each of the following.
`(33)^(1/5)`
Find the approximate value of log10 (1016), given that log10e = 0⋅4343.
Find the approximate change in the volume ‘V’ of a cube of side x metres caused by decreasing the side by 1%.
Find the percentage error in calculating the surface area of a cubical box if an error of 1% is made in measuring the lengths of edges of the cube ?
The pressure p and the volume v of a gas are connected by the relation pv1.4 = const. Find the percentage error in p corresponding to a decrease of 1/2% in v .
Using differential, find the approximate value of the following: \[\left( 0 . 007 \right)^\frac{1}{3}\]
Using differential, find the approximate value of the \[\left( 255 \right)^\frac{1}{4}\] ?
Using differential, find the approximate value of the loge 10.02, it being given that loge10 = 2.3026 ?
Using differential, find the approximate value of the \[\sqrt{36 . 6}\] ?
Using differential, find the approximate value of the \[\left( 3 . 968 \right)^\frac{3}{2}\] ?
For the function y = x2, if x = 10 and ∆x = 0.1. Find ∆ y ?
If the percentage error in the radius of a sphere is α, find the percentage error in its volume ?
If there is an error of 2% in measuring the length of a simple pendulum, then percentage error in its period is
While measuring the side of an equilateral triangle an error of k % is made, the percentage error in its area is
If y = xn then the ratio of relative errors in y and x is
The circumference of a circle is measured as 28 cm with an error of 0.01 cm. The percentage error in the area is
Find the approximate values of: `root(3)(28)`
Find the approximate values of sin (29° 30'), given that 1° = 0.0175°, `sqrt(3) = 1.732`.
Find the approximate values of : tan–1(0.999)
Find the approximate values of : e0.995, given that e = 2.7183.
Find the approximate values of : loge(101), given that loge10 = 2.3026.
The approximate value of tan (44°30'), given that 1° = 0.0175c, is ______.
Find the approximate value of the function f(x) = `sqrt(x^2 + 3x)` at x = 1.02.
Using differentiation, approximate value of f(x) = x2 - 2x + 1 at x = 2.99 is ______.
Using differentials, find the approximate value of `sqrt(0.082)`
Find the approximate value of (1.999)5.
If y = x4 – 10 and if x changes from 2 to 1.99, what is the change in y ______.
If the radius of a sphere is measured as 9 cm with an error of 0.03 cm, then find the approximating error in calculating its volume.
The approximate change in volume of a cube of side `x` meters coverd by increasing the side by 3% is
Find the approximate value of tan−1 (1.002).
[Given: π = 3.1416]
