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Distance Formula

Find the dist...

Question

Find the distance between the points :

(i) A(9, 3) and B (15, 11) (ii) A (7, -4) and B(-5, 1)

(iii) A(-6, -4) and B(9, -12) (iv) A (1, -3 ) and B (4, -6)

(v) P (a+b, a-b) and Q (a-b, a+b)

(vi) P (a sin α, a cos α) and Q (a cos α, - a sin α)

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Similar questions

Find the distance between the following pair of points:

(i) (-6,7) and (-1,-5)

(ii) (a+b,b+c) and (a-b,c-b)

(iii) $(a s i n α, - b c o s α) a n d (- a c o s α, b s i n α)$

(iv) (a,0) and (0,b)

Q. Find the distance between the following pair of points:

(a) (−6, 7) and (−1, −5)

(b) (a+b, b+c) and (a−b, c−b)

(c) (asinα, −bcosα) and (−acos α, bsin α)

(d) (a, 0) and (0, b)

Q. The maximum distance between the points

(a cos α, a sin α)

(a cos β, a sin β)

A

B

be two events such that

P (¯ ¯¯¯¯¯¯¯¯¯¯¯¯ ¯ A \cup B) = \frac{1}{6}, P (A \cap B) = \frac{1}{4}

P (¯ ¯¯ ¯ A) = \frac{1}{4}

A

B

A

B

P (A) = \frac{1}{4}, P (A | B) = \frac{1}{4}

P (B | A) = \frac{1}{2}

Consider the following statements:
(I)

P (¯ ¯¯ ¯ A | ¯ ¯¯ ¯ B) = \frac{3}{4}

A

B

are mutually exclusive
(III)

P (A | B) + P (A | ¯ ¯¯ ¯ B) = 1

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