Geometry Mathematics 2 2013-2014 SSC (English Medium) 10th Standard Board Exam Question Paper Solution

In the given, seg BE ⊥ seg AB and seg BA ⊥ seg AD.

if BE = 6 and AD = 9 find `(A(Δ ABE))/(A(Δ BAD))`.

If two circles having centers P and Q and radii 3 cm and 5 cm. touch each other externally, find the distance PQ.  

The terminal is in II (second ) quadrant. what is the possible measure of an angle?

Find the slope of a line having inclination 60°.

Find the area of a sector of a circle having radius 6 cm and length of the arc 15 cm. 

Sides of the triangle are 7 cm, 24 cm, and 25 cm. Determine whether the triangle is a right-angled triangle or not. 

In the figure, ray YM is the bisector of ∠XYZ, where seg XY ≅ seg YZ, find the relation between XM and MZ. 

As shown in the figure. two concentric circles are given and line AB is the tangent to the smaller circle at T. Shown that T is the midpoint of Seg AB 

Find the slope of a line passing through the point A (-2,1), B (0,3). 

If tan θ = 2, where θ is an acute angle, find the value of cos θ. 

Draw the tangent at any point M on the circle with centre O and radius 2.9 cm. 

If (4,-3) is a point on line 5x +8y = c, find the value of c.

In ΔPQR, seg PM is the median. If PM = 9, PQ² + PR² = 290, Find QR. 

In the figure, two chords AB and CD of the same circle are parallel to each other. P is the centre of the circle. show that ∠CPA = ∠DPB.

Draw the circumcircle of Δ PMT in which PM = 5.4, P = 60°, M = 70°.

Prove that `sqrt((1 + sin A)/(1 - sin A))` = sec A + tan A. 

Find the equation of a lined passage through (3,6) and making intercepts equal magnitude but opposite in sign-on both the axes. 

Prove that the lengths of two tangent segments drawn to the circle from an external point are equal. 

A tree is broken by the wind. The top struck the ground at an angle of 30° and at a distance 30 m from the root. Find the whole height of the tree. (`sqrt(3)`=1.73)

The dimensions of a metallic cuboid are 44 cm × 42 cm × 21 cm. it is molten and recast into a sphere. Find the surface area of the sphere.

If the angles of a triangle are 30°, 60°, and 90°, then shown that the side opposite to 30° is half of the hypotenuse, and the side opposite to 60° is `sqrt(3)/2` times of the hypotenuse.

Δ AMT ∼ ΔAHE. In  Δ AMT, MA = 6.3 cm, ∠MAT = 120°, AT = 4.9 cm, `(MA)/(HA) = 7/5`. construct  Δ AHE. 

Water flows at the rate of 10 meters per minute through a cylindrical pipe having its diameter 20 mm. how much time will it take to fill a conical vessel of diameter 40 cm and depth 24 cm?