Question

solve question 1, 2 , 6​

Answer 1

Answer:

1. Fundamental Theorem of Arithmetic:

Every whole number can be represented as the product of two or more prime numbers.

2. Condition for two equations to have infinite number of solutions:

$\sf{\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}}$

Given equations:

3x + 5y - (k - 5) = 0

6x + 10y - k = 0

=> 3/6 = 5/10 = (k - 5)/k

=> 1/2 = (k - 5)/k

=> k = 2k - 10

=> 10 = k

Value of k is 10.

6. Property to be used:

Alternate segment theorem: The angle the chord makes with the tangent is equal to the angle made by the same chord in the alternate segment.

Thus, /_CAB = /_BCQ = 30°

Also, /_BAC = 90° [Angle in a semicircle]

=> /_PCA = 180 - /_BAC - /_BCQ [Angles on a straight line]

=> /_PCA = 180 - 90 - 30

=> /_PCA = 60°

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Answer 2

Answer:

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