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Show that the Tangents to the Curve Y = 7x3 + 11 at the Points Where X = 2 and X = −2 Are Parallel. - Mathematics

Show that the tangents to the curve y = 7x3 + 11 at the points where x = 2 and x = −2 are parallel.

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Solution

The equation of the given curve is y = 7x3 + 11.

It is observed that the slopes of the tangents at the points where x = 2 and x = −2 are equal.

Hence, the two tangents are parallel.

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APPEARS IN

NCERT Class 12 Maths
Chapter 6 Application of Derivatives
Q 16 | Page 212
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