Question

lim X tends to C (2-(X/c)) ^( tan(πx/2c))​

Answer 1

Answer:

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Step-by-step explanation:

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Class 11

>>Applied Mathematics

>>Straight lines

>>Angle between two lines

>>Without using distance form...

Question

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Without using distance formula, show that points (−2,−1),(4,0),(3,3) and (−3,2) are the vertices of a parallelogram

Medium

Solution

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Let points (−2,−1),(4,0),(3,3) and (−3,2) be respectively denoted by A,B,C and D.

Now, slope of AB =

4+2

0+1

=

6

1

Slope of CD =

−3−3

2−3

=

−6

−1

=

6

1

⇒ slope of AB = slope of CD

⇒ AB and CD are parallel to each other

Also, slope of BC =

3−4

3−0

=

−1

3

=−3

Slope of AD =

−3+2

2+1

=

−1

3

=−3

⇒ slope of BC = slope of AD

⇒ BC and AD are parallel to each other.

Therefore, both are pairs of opposite sides of quadrilateral ABCD are parallel.

Hence ABCD is parallelogram.

Answer 2

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