CBSE Class 10 Mathematics Basic Sample Paper 17 2027 Solutions

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page 228 Cbse Class 10th Mathematics - Basic SP Sample Paper 17 Class - 10th Exam - 2026 - 27 Mathematics - Basic Time : 3 Hours Max. Marks : 80 General Instructions : Read the following instructions carefully and follow them: 1. This question paper contains 38 questions. 2. This Question Paper is…
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SAMPLE PAPER 17 AAns :  Given, cos α β + ^ h 0 = cos 90 = c cos 90 0 = c 6 @ α β + 90 = c α 90 β = − c Now, sin α β - ^ h sin 90 b b = − − c ^ h sin 90 2β = − c ^ h cos 2β = Thus (b) is correct option. 4. The point P on x -axis equidistant from the points ( , ) A 1 0 - and ( , ) B 5 0 is (a) (2,…
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page 230 Cbse Class 10th Mathematics - Basic SP OPQ + 90 50 c c = − 40c = Also, OP OQ = [Radii of a circle] Since equal opposite sides have equal opposite angles, OPQ + OQP + = 40c = POQ + OPQ OQP 180c + + = − − 180 40 40 c c c = − − 100c = Thus (c) is correct option. 8. The roots of the quadratic…
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SAMPLE PAPER 17 13. The distance between the points ( , ) cos sin a b 0 θ θ + , and ( , ) sin cos a b 0 θ θ − is (a) a b 2 2 + (b) a b 2 2 - (c) a b 2 2 + (d) a b 2 2 - AAns :  We have x1 cos sin a b θ θ = + and y1 0 = and x2 0 = and y2 sin cos a b θ θ = − d2 ( ) ( ) x x y y 2 1 2 2 1 2 = − + − (…
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page 232 Cbse Class 10th Mathematics - Basic SP BA BC tan45c = BC AB = m 15 = Thus (d) is correct option. 18. The quadratic equation x x 2 5 1 0 2 − + = has (a) two distinct real roots (b) two equal real roots (c) no real roots (d) more than 2 real roots AAns :  We have x x 2 5 1 2 − + 0 =…
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SAMPLE PAPER 17 Since OP is radius and PT is tangent at P , OP PT = OPT + º 90 = Now in right angle OPT ∆ , PTO + ( ) OPT POT 180c + + = − + Substituting OPT + º 90 = and POT 60c + = we have PTO + ( ) 180 90 60 c c c = − + 180 150 c c = − 30º = Thus PTA + PTO + = 30º = 22. A bag contains 5 red, 8…
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page 234 Cbse Class 10th Mathematics - Basic SP O In the figure of , ABC T the points D and E are on the sides , CA CB respectively such that || , DE AB , , AD x DC x BE x 2 3 2 1 = = + = − and . CE x = Then, find .x O In the figure of , ABC T || . DE AB If , AD x 2 = , DC x BE x 3 2 1 = + = − and…
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SAMPLE PAPER 17 200π = cm3 Internal radius of cylindrical vessel 10 = Let the h be the height of emptied water. Volume of water in cylinder, r h 2 π 4 3 # = Volume of cone h 10 10 # # # π 4 3 200 # π = h 100 150 = & h .1 5 = cm Hence the height of water is 1.5 cm. 27. Find a quadratic polynomial…
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page 236 Cbse Class 10th Mathematics - Basic SP 29. The rod of TV disc antenna is fixed at right angles to wall AB and a rod CD is supporting the disc as shown in Figure. If . AC 1 5 = m long and m CD 3 = , find (i) tanθ (ii) sec cosec θ θ + . AAns :  From the given information we draw the figure…
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SAMPLE PAPER 17 31. Solve the following pair of linear equations : x y 8 5 + 9 = x y 3 2 + 4 = AAns :  From equation (2), we have x 3 y 4 2 = − or, x y 3 4 2 = − ...(3) Substituting this value of y in equation (3) in (1), we get y y 8 3 4 2 5 − + b l 9 = y y 32 16 15 − + 27 = y - 27 32 = − Thus y…
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page 238 Cbse Class 10th Mathematics - Basic SP AAns :  [Board 2020 Delhi Basic] We assume A as origin (0, 0), AB as x -axis and AD as y -axis. Niharika runs in the 2nd line with green flag and distance covered (parallel to AD), 4 1 100 # = m 25 = Thus co-ordinates of green flag are (2, 25) and we…
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SAMPLE PAPER 17 Class Frequency 900-1000 4 AAns :  We prepare cumulative frequency table as given below. Class Interval Frequency ( )f Cum. freq. . . c f 0-100 2 2 100-200 5 7 200-300 x x 7 + 300-400 12 x 19 + 400-500 17 x 36 + 500-600 20 x 56 + 600-700 y x y 56 + + 700-800 9 x y 65 + + 800-900 7…
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page 240 Cbse Class 10th Mathematics - Basic SP Section - E Section E consists of 3 case study based questions of 4 marks each. 36. MASK : Masks are an additional step to help prevent people from getting and spreading COVID-19. They provide a barrier that keeps respiratory droplets from spreading.…
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SAMPLE PAPER 17 (i) If width is taken as x , find the polynomial that represent volume of box. (ii) Find the polynomial that represent the area of paper sheet used to make box. (iii) If it must have a volume of 18 unit, what must be its length and height ? O (iv) If box is made of a paper sheet…
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page 242 Cbse Class 10th Mathematics - Basic SP r l r r co co co cy 2 2 p p p + − ( ) r h r r r co co co co cy 2 2 2 2 p p = + + − [ ( )] r h r r r co co co co cy 2 2 2 2 π = + + − [ ( )] 36 77 36 36 20 2 2 2 2 π = + + − [ ( )] 36 85 36 20 2 2 # π = + − ( ) 3060 1296 400 π = + − 3956 mm2 π = (iii)…
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