SSC (English Medium) १० वीं कक्षा - Maharashtra State Board Question Bank Solutions

If Δ ABC ∼ Δ XYZ then complete the following brackets.
`(AB)/(XY) =  /(YZ) = (AC)/`

Draw ∠ ARP= 115° and bisect it.

Write down the equation of X- axis.

Draw seg AB of length 5.7 cm and bisect it.

Draw ∠ABC of measure 120° and bisect it.

Find the trigonometric sine ratio of an angle in a standard position whose terminal arm passes through the point (3, 4).

Prove that “That ratio of areas of two similar triangles is equal to the square of the ratio of their corresponding sides.”

Construct ∠ABC = 60° and bisect it

Construct ∠PQR = 115° and divide it into two equal parts

Draw Seg AB of length 9.7 cm. Take point P on it such that AP = 3.5 cm and A–P–B. Construct perpendicular to seg AB from point P.

Draw seg AB of length 4.5 cm and draw its perpendicular bisector

Point P is at a distance of 6 cm from line AB. Draw a circle of radius 4 cm passing through point P so that line AB is the tangent to the circle

Choose the correct alternative:

If sin θ = `3/5`, then cos θ = ?

If 2 sin θ = 3 cos θ, then tan θ = ?

If cos(45° + x) = sin 30°, then x = ?

If sec A = `x + 1/(4x)`, then show that sec A + tan A = 2x or `1/(2x)`

In the above figure `square`ABCD is a rectangle. If AB = 5, AC = 13, then complete the following activity to find BC.

Activity: ΔABC is a `square` triangle.

∴ By Pythagoras theorem

AB² + BC² = AC²

∴ 25 + BC² = `square`

∴ BC² = `square`

∴ BC = `square`

Construct two concentric circles with centre O with radii 3 cm and 5 cm. Construct a tangent to a smaller circle from any point A on the larger circle. Measure and write the length of the tangent segment. Calculate the length of the tangent segment using Pythagoras' theorem.

In the right-angled triangle ABC, Hypotenuse AC = 10 and side AB = 5, then what is the measure of ∠A?

If tan θ = `12/5`, then 5 sin θ – 12 cos θ = ?