HSC Science (General) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions

By using properties of determinant prove that

`|(x+ y,y+z, z+x ),(z, x,y),(1,1,1)|` = 0 

Evaluate the following limit:

`lim_(x->0)[(sqrt(6 + x + x^2) - sqrt6)/ (x)]`

Evaluate the following limit:

`lim_(x -> 0)[(sqrt(6 + x + x^2) - sqrt6)/x]`

Convert the following angle into radian:

85°

Convert the following angle into radian:

250°

Convert the following angle into radian:

−132°

Convert the following angles into radian:

65°30′

Convert the following angles into radian:

75°30′

Convert the following angles into radian:

40° 48′

Convert the following angles in degree.

`(7pi^"c")/12`

Convert the following angles in degree:

`(-5pi^"c")/3`

Convert the following angles in degree:

5^c 

Convert the following angles in degree:

`(11pi^"c")/18`

Convert the following angles in degree:

`((-1)/4)^"c"`

Express the following angle in degree, minute and second:

(183.7)°

Express the following angle in degree, minute and second:

(245.33)°

Express the following angle in degree, minute and second:

`(1/5)^"c"`

In ∆ABC, if m∠A = `(7pi^"c")/36`, m∠B = 120°, find m∠C in degree and radian.

Two angles of a triangle are `(5pi^"c")/9` and `(5pi^"c")/18`. Find the degree and radian measures of third angle.

In a right angled triangle, the acute angles are in the ratio 4:5. Find the angles of the triangle in degrees and radians.