SSC (Marathi Semi-English) 10th Standard Board Exam [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.

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

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.

If `secθ = 25/7 ` then find tanθ.

If tanθ `= 3/4` then find the value of secθ.