Assertion :Three real and distinct normals can be drawn from the point $(4, 0)$ to the parabola $y^{2} = 4 x$ . Reason: Three real and distinct normals can be drawn to the parabola $y^{2} = 4 a x, (a > 0)$ from point $(k, 0)$ if $k > 2 a$ .

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Assertion is correct but Reason is incorrect

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Assertion is incorrect but Reason is correct

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
We know that
Three real and distinct normals can be drawn to the parabola $y^{2} = 4 a x, (a > 0)$ from point $(k, 0)$ if $k > 2 a .$
Hence, statement 2 is correct.
Now, for statement 1, given parabola is $y^{2} = 4 x$ and the point is $(4, 0)$
Now, here $2 a = 2$ , $k = 4$
$k > 2 a$
Hence, three normal can be drawn to the parabola from the point $(4, 0)$
Hence, statement 1 is true and statement 2 is the correct explanation of statement 1.

Suggest Corrections

Similar questions

Q. Assertion: The compressibility factor for

H_{2}

and

H e

(1 + \frac{P b}{R T})

Reason: The compressibility factor for

H_{2}

and

H e

can be derived from Van der Waal's equation.

Q. Assertion : Two electrons of helium atom are placed in only one shell but three electrons of lithium need two shells.
Reason: A shell can have maximum

{2n}^{2}

electrons.

Assertion: All the points (1, 0), (-1, 0), (2, 0) and (5, 0) lie on the x – axis.

Reason: Equation of the x – axis is y = 0
Now, choose the correct option.

Assertion (A) Order of the reaction can be zero or fractional.

Reason (R) We cannot determine order from balanced chemical equation.

(a) Both assertion and reason are correct and the reason is correct explanation of assertion
(b) Both assertion and reason are correct, but reason does not explain assertion.
(c) Assertion is correct, but reason is incorrect
(d) Both assertion and reason are incorrect
(e) Assertion is incorrect but reason is correct.

ASSERTION: n-Pentane and n-Hexane belong to a homologous series.

REASON: n-Pentane and n-Hexane belong to the same class of hydrocarbons and they differ by a - $C H_{2}$ - group.

Join BYJU'S Learning Program

Assertion :Three real and distinct normals can be drawn from the point (4,0) to the parabola y2=4x. Reason: Three real and distinct normals can be drawn to the parabola y2=4ax,(a>0) from point (k,0) if k>2a.

Assertion :Three real and distinct normals can be drawn from the point $(4, 0)$ to the parabola $y^{2} = 4 x$ . Reason: Three real and distinct normals can be drawn to the parabola $y^{2} = 4 a x, (a > 0)$ from point $(k, 0)$ if $k > 2 a$ .