SSC (English Medium)
SSC (Marathi Semi-English)
Academic Year: 2016-2017
Date: July 2017
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In the following figure RP : PK= 3 : 2, then find the value of A(ΔTRP) : A(ΔTPK).
Chapter: [1] Similarity
If two circles with radii 8 cm and 3 cm respectively touch externally, then find the distance between their centres.
Chapter:
Find the Slope of the line having inclination 45°.
Chapter:
Find the side of the square whose diagonal is `16sqrt(2)` cm.
Chapter: [2] Pythagoras Theorem
Sides of a triangle are 7, 24 and 25. Determine whether the triangle is a right-angled triangle or not.
Chapter:
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The diameter of a sphere is 6 cm, Find the total surface area of the sphere. (π = 3.14)
Chapter:
Draw a tangent at any point ‘M’ on the circle of radius 3.3 cm and centre ‘O’.
Chapter:
If sinθ = `8/17`, where θ is an acute angle, find the value of cos θ by using identities.
Chapter: [6] Trigonometry
Find the area of the sector of a circle of radius 8 cm and arc with length 15 cm.
Chapter:
In the given figure, a tangent segment PA touching a circle in A and secant PBC are shown, If AP = 15 cm BP = 10 cm, find the length of PC.
Chapter:
In ΔPQR, ∠P = 30°, ∠Q = 60°, ∠R = 90° and PQ = 12 cm, then find PR and QR.
Chapter: [6] Trigonometry
ABCD is a cyclic quadrilateral. M (arc ABC) = 230°. Find ∠ABC, ∠CDA, and ∠CBE.
Chapter:
Draw the circumcircle of ΔPMT in which PM = 5.6 cm, ∠P = 60°, ∠M = 70°.
Chapter: [1] Similarity
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Prove that:
sec2θ + cosec2θ = sec2θ x cosec2θ
Chapter: [6] Trigonometry
Find the equation of the line passing through the points (4,-5) and (-1,-2).
Chapter:
Prove that the lengths of two tangent segments drawn to the circle from an external point are equal.
Chapter:
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:
If P(-2,4), Q(4,8), R(10, 5) and S(4, 1) are the vertices of a quadrilateral, show that it is a parallelogram.
Chapter:
Prove that “That ratio of areas of two similar triangles is equal to the square of the ratio of their corresponding sides.”
Chapter: [4] Geometric Constructions
Draw a triangle ABC with side BC = 6cm, ∠B = 45° and ∠A = 100°, then construct a triangle PBQ whose sides are `7/4` times the corresponding sides of ΔABC.
Chapter:
A tin maker converts a cubical metallic box into 10 cylindrical tins. The side of the cube is 50 cm and the radius of the cylinder is 7 cm. Find the height of each cylinder so made, if the wastage of 12% is incurred in the process `(pi = 22/7)`
Chapter:
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Maharashtra State Board previous year question papers 10th Standard Geometry Mathematics 2 with solutions 2016 - 2017
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