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# Geometry SSC Class 10 - Model Question Paper for Practice Set 1

Here, we present Geometry SSC Class 10 Model Question Papers for Practice. These are based on latest board paper pattern. Solve these sample papes of algebra to gain maximum marks in SSC board exams. These practice papers are neatly arranged in series for your quick reference. Quizcrazy.in and team is proud to present SSC Geometry Sample question papers for practice for SSC students of class 10.
 Geometry Question Paper for SSC students Q1. Attempt any FIVE from the following: (5 Marks) (i) The ratio of areas of two triangles with common base is 6:5. Height of the larger triangle is 9 cm. Find the corresponding height of the smaller triangle. (ii) In the figure given below, ray PT is the bisector of angle QPR. Find the value of x and the perimeter of ▵PQR. (iii) In the figure given below, a tangent segment PA is touching a circle in A and a secant PBC is shown. AP = 15 and BP = 10. Find BC. (iv) Find where the terminal arm lies if the terminal arm passes through the point (5, -7). (v) Find the slope of the line having inclination 60° (vi) If tan θ = 2, where θ is an acute angle, find the value of cot θ. Q2. Attempt any FOUR from the following: (8 Marks) (i) Find the radius of the circle passing through the vertices of a right angled triangle when lengths of perpendicular sides are 6 cm and 8 cm. (ii) Prove the following: (iii) Find the slope of the line passing through the points (2,3) and (4,7). (iv) An arc of circle of radius 7 cm subtends an angle of 36° at the centre. Find the length of the arc. (v) If the slope and y-intercept of a line are 2 and 5 respectively, write the equation of the line. Q3. Attempt any THREE from the following: (9 Marks) (i) Prove: The opposite angles of a cyclic quadrilateral are supplementary. (ii) Find the trigonometric ratios in standard position whose terminal arm passes through (3,4). (iii) A(0,0), B(7,2), C(7,7) and D(2,7) are the vertices of a quadrilateral. Find the slope of each diagonal. (iv) A sector of circle with radius 10 cm has central angle of 72°. Find the area of the sector. (π = 3.14) Q4. Attempt any THREE from the following: (12 Marks) (i) Construct tangents to the circle of radius 2.8 cm from a distance of 6.5 cm from the centre. (ii) Find the equation of the line passing through (2,-1) and parallel to 3x + 4y = 10. (iii) The sum of length, breadth and height of a cuboid is 38 cm and the length of its diagonal is 22 cm. Find the total surface area of the cuboid. (iv) Two persons on the same side of a building notice the angle of elevation to the top of the building to be 30° and 60° respectively. If the height of the building is 72 m, find the distance between the two persons. (√3 = 1.73) Q5. Attempt any TWO from the following: (10 Marks) (i) Draw a circle with radius 3.5 cm. Take any point K on it. Draw a tangent to the circle at K without using the centre of the circle. (ii) State and prove Basic Proportionality Theorem. (iii) In the figure given below, PQRV is a trapezium. Seg PQ || seg VR. SR = 4 and PQ = 6. Find VR. Geometry Model Question Papers: 01 02