class 11

Math

Co-ordinate Geometry

Straight Lines

Consider the curves $y=x_{2}+2$ and $y=10−x_{2}$ . Let $θ$ be the angle between both the curves at point of intersection, then find $∣tanθ∣$ (a) $158 $ (b) $175 $ (c) $173 $ (d) $178 $

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Complete the following patterns:(i) $40,35,30$, __, __, __(ii) $0,2,4$, ___ , ___ , ___ .(iii) $84,77,70$, ___ , ___ , ___ .(iv) $4.4,5.5,6.6$, ___ , ___ , ___ .(v) $1,3,6,10$, ___ , ___ , ___ .(vi) $1,1,2,3,5,8,13,21$, ___ , ___ , ___ . (This sequence is called FIBONACCI SEQUENCE)(vii) $1,8,27,64$, ___ , ___ , ___ .

$120,15,105,17.5,87.5,?$

In a certain sequence of 8 numbers, each number after the first is 1 more than the previous number .If the first number is -5, how many of the numbers in the sequence are positive?

prove

Identify the sequence and fill in the blank.

1-0,1-0,...1-0

In following symbol series, some of the symbols are missing which are given in that order as one of the alternatives below it. Choose the correct alternative.

State true or false: