SSC (Marathi Semi-English) 10th Standard Board Exam [इयत्ता १० वी] - Maharashtra State Board Important Questions

Find distance between point A(7, 5) and B(2, 5)

Find distance CD where C(– 3a, a), D(a, – 2a)

Show that the point (0, 9) is equidistant from the points (– 4, 1) and (4, 1)

Find distance between points P(– 5, – 7) and Q(0, 3).

By distance formula,

PQ = `sqrt(square + (y_2 - y_1)^2`

= `sqrt(square + square)`

= `sqrt(square + square)`

= `sqrt(square + square)`

= `sqrt(125)`

= `5sqrt(5)`

What is the distance of the point (– 5, 4) from the origin?

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)`