SSC (English Medium) इयत्ता १० वी - Maharashtra State Board Important Questions

Draw a line segment AB of length 10 cm and divide it internally in the ratio of 2:5 Justify the division of line segment AB.

Find the distance between the points O(0, 0) and P(3, 4).

Show that points A(–1, –1), B(0, 1), C(1, 3) are collinear.

For the angle in standard position if the initial arm rotates 25° in anticlockwise direction, then state the quadrant in which terminal arm lies (Draw the figure and write the answer).

If `sec alpha=2/sqrt3`  , then find the value of `(1-cosecalpha)/(1+cosecalpha)` where α is in IV quadrant.

If `theta = 45^@`, then find `tan theta`.

if `cos theta = 5/13` where `theta` is an acute angle. Find the value of `sin theta`

Show that `sqrt((1+cosA)/(1-cosA)) = cosec A + cot A`

If \[\sin\theta = \frac{7}{25}\], find the values of cosθ and tan​θ.

Prove that:

`(sin^2θ)/(cosθ) + cosθ = secθ`

Prove that:

cos²θ (1 + tan²θ)

Prove that:

Prove that:

Sin⁴θ - cos⁴θ = 1 - 2cos²θ

Prove that:

`"tanθ"/("secθ"  –  1) = (tanθ + secθ + 1)/(tanθ + secθ - 1)`

Choose the correct alternative answer for the following question.

1 + tan² \[\theta\]  = ?

Choose the correct alternative answer for the following question.

If sin θ = `11/61`, find the values of cos θ using trigonometric identity.

Prove the following.

secθ (1 – sinθ) (secθ + tanθ) = 1

From the figure find the value of sinθ.