Differentiate `y = sin(x^2 + 3)`.

Answer

`a to p,s;" b" to p; " c" to q; " d" to p,q,r`

Explanation

a.

Obviously, it is a trapezium.
`a = sqrt(37)`
`b = sqrt(37)`
`therefore a =b`
Hence, it is and isosceles trapezium.
Therefore, it is a cyclic quadrilateral.
b.

ac= bd
`"or " (b)/(c) = (a)/(d)`
`"tan "theta = (b)/(c)`
`"tan "phi = (a)/(d)`
`"or " theta = phi`
Hence, it is a cyclic quadrrilateral.
c. `ax+- by +-c = 0`
`"If " y=0, y=+-(c)/(a)`
`"If " x= 0, y= +-(c)/(d)`
Therefore, it is a rhombus.
d.

(x-6)(x-2) =0
x = 6 and x = 2
`y^(2) - 14y+45=0`
(y-9)(y-5) = 0
Therefore, it is a square.