Date: July 2016

In the following figure RP: PK= 3:2, then find the value of A(ΔTRP):A(ΔTPK).

Chapter: [0.01] Similarity

If two circles with diameters 8 cm and 6 cm respectively touch externally, find the distance between their centers.

Chapter: [0.03] Circle

Find the Slope of the line having inclination 45°.

Chapter: [0.04] Co-ordinate Geometry

Using Euler’s formula, find V if E = 30, F = 12.

Chapter: [0.07] Mensuration

Find the length of diagonal of the square whose side is 8 cm.

Chapter: [0.02] Pythagoras Theorem

For the angle in standard position if the initial arm rotates 305° in an anticlockwise direction, then state the quadrant in which the terminal arm lies.

Chapter: [0.06] Trigonometry

Draw seg AB of length 9.7 cm. Take a point P on it such that A-P-B, AP = 3.5 cm. Construct a line MN ⊥ sag AB through point P.

Chapter: [0.04] Co-ordinate Geometry [0.05] Geometric Constructions

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

Chapter: [0.06] Trigonometry

In the following figure, state whether the triangles are similar. Give reason.

Chapter: [0.01] Similarity

In the following figure, seg AB is a diameter of the circle, m (arc AKC) = 40°. Find the value of m (arc BMC).

Chapter: [0.03] Circle

Write the equation of a line passing through the point P (0,6) and having slope 6/7.

Chapter: [0.04] Co-ordinate Geometry

Find the area of sector whose central angle and radius are 60^{o} and 21 cm respectively.

`(pi = 22/7)`

Chapter: [0.03] Circle

In the following figure, seg AB is the diameter of the circle with center P. Line CB be the tangent and line AC intersects a circle in point D. Prove that:

AC x AD = 4 (radius)^{2}

^{}

Chapter: [0.03] Circle

In the following figure, ray PT is the bisector of ∠QPR Find the value of x and perimeter of ∠QPR.

Chapter: [0.01] Similarity

The length, breadth, and height of a cuboid are in the ratio 5:4: 2. If the total surface area is 1216 cm^{2}, find dimensions of the solid.

Chapter: [0.07] Mensuration

Construct the incircle of Δ RST in which RS = 6cm, ST 7 cm, RT

= 6.5 cm.

Chapter: [0.03] Circle

Show that:

`sqrt((1-cos"A")/(1+cos"A"))=cos"ecA - cotA"`

Chapter: [0.06] Trigonometry

Prove that ‘the opposite angles of a cyclic quadrilateral are supplementary’.

Chapter: [0.03] Circle

A person standing on the bank of river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60°. When he moves 40 m away from the bank, he finds the angle of elevation to be 30°. Find the height of the tree and width of the river. `(sqrt 3=1.73)`

Chapter: [0.06] Trigonometry

A roller of diameter 0.9 m and the length 1.8 m is used to press the ground. Find the area of the ground pressed by it in 500 revolutions.

`(pi=3.14)`

Chapter: [0.01] Similarity

Prove that, if a line parallel to a side of a triangle intersects the other sides in two district points, then the line divides those sides in proportion.

Chapter: [0.01] Similarity

Show that ABCD is a parallelogram if A = (4, 8), B = (5, 5), C = (2, 4), D = (1, 7)

Chapter: [0.03] Circle

ΔAMT∼ΔAHE, construct Δ AMT such that MA = 6.3 cm, ∠MAT=120°, AT = 4.9 cm and `"MA"/"HA"=7/5`, then construct ΔAHE.

Chapter: [0.06] Trigonometry

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## Maharashtra State Board previous year question papers 10th Standard [इयत्ता १० वी] Geometry with solutions 2015 - 2016

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