or
Bishesh Gautam asked a question

Here, the given equation of parabola is y2= 8x.

The equation of tangent to the parabola y2=8x is,

y= mx + 2/m

This tangent passes through the point (-2, 3)

So, 3 = -2m + 2/m

or, 3m + 2m2 = 2

or, 2m2+3m - 2= 0

or, 2m2 + (4 - 1)m -2 = 0

or, 2m2 + 4m - m - 2 = 0

or, 2m(m + 2) - 1(m+2) = 0

or, (m + 2) (2m - 1) = 0

Either, Or,

m = -2 m = 1/2

Required angle is,




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Diwas Pandit asked a question

A negative of a vector represents the direction opposite to the reference direction. It means that the magnitude of two vectors are same but they are opposite in direction.

For example, if A and B are two vectors that have equal magnitude but opposite in direction, then vector A is negative of vector B.

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Bijaya Rajbhandari asked a question

Water is a vital substance for life on Earth, and it plays numerous important biological roles in living organisms. Some of the key biological roles of water are:

  1. Universal solvent: Water is an excellent solvent for many substances, both organic and inorganic. This means that it can dissolve and transport a wide range of nutrients and minerals necessary for the growth and survival of living organisms.

  2. Medium for metabolic reactions: Many metabolic reactions in living organisms require water...

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Diwas Pandit asked a question

Yes, if the angle between the two vectors is more than 90o but less than 2700. (cosΘ is negative)

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