10th_mathematics__quadratic_equations_imp-ques_solved Download File
10th_mathematics__quadratic_equations_imp-question-2. Download File 10th_mathematics__quadratic_equations_impq_2_answers-1 Download File 10th_mathematics__quadratic_equations_impq_2_answer-2 Download File Assignment Class X Quadratic Equations 1. Find the value of k for kx2 + 2x - 1 = 0, so that it has two equal roots 2. Find the value of k for k x2 - 2√ 5 x + 4 = 0, so that it has two equal roots. 3. If the roots of the equation (b - c) x2 + (c - c) x + (a - b) = 0 are equal, accordingly prove that 2b = a + c. 4. Find the discriminant of the quadratic equation 3x2– 4 √3 x + 4 = 0, and hence find the nature of its roots. 5. Find the value of k for 2 x2 + k x + 3 = 0, so that it has two equal roots. Read all questions......................
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X Mathematics Sample paper Term-II
Sample_Paper-01 sample_Paper-02 Sample_Paper-03 sample_paper-04 More------ X Science Sample paper 2nd term New sample_paper-01 sample_paper-02 sample_paper-03 Sample_paper-04 More------ 9th_science_sample_paper_sa-II-1 Download File
9th_science_sample_paper_sa-II-2 Download File 9th_science_sample_paper_sa-II-3 Download File 9th_science_sample_paper-sa-II-4 Download File 9th_Maths_sample_paper sa-II -5 Download File Q1. Find the co-ordinates of a point which divide the segment AB in the ration 3:5 internally, where A(4 , –1 ) and B(–2, 4).
Q2. Find the co-ordinates of points of trisection of the segment joining points (4, –8) and (7, 4). Q3. In what ratio does the point (3, 12) divide line segment joining the points (1, 4) and (4, 16)? Q4. Determine the ratio in which the line 3x + y – 9 = 0 divides the segment joining the points (1, 3) and (2, 7). Q5. Find the point which represent 3/4 of the distance from (3, 2) and (–5, 6). Q6. (a) In what ratio the line segment joining the points (–2, –3) and (3, 7) divided by y-axis? Also, find the co-ordinates of the point of division. (b) In what ratio the line segment joining the points (2, –3) and (5, 6) divided by y-axis? Also, find the co-ordinates of the point of division. Q7. If A (5, –1), B (–3 , –2) and C (–1, 8) are the vertices of ∆ABC, find length of median through A And also find the co-ordinates of the centroid. Q8. Find the co-ordinates of vertices of triangle, if the co-ordinates of mid points of sides of the Triangle are: (a) (3, 2) , (4, 4) and (1, 3) (b) (3, 4) , (4, 1) and (2, 0) Q9. Find co-ordinate of centroid of triangle whose vertices are: (a) (–2, 1) , (–3, 4) and (8, –11) (b) (–2, 4) , (7, –3) and ( 4, 5) Q10. Find the third vertex of triangle, if its two vertices are (–4, 1) and (5, 2) and its centroid is (1, 3). Q11.Three consecutive vertices of a parallelogram are (–2, –1), (1, 0) and (4, 3). Find its fourth vertex. Q12. Find the co-ordinates of points which divide the line segment joining the points (–4, 0) and (0, 6) in four equal parts. Q13.Find the value of x such that PQ = QR, where the co-ordinates of P, Q and R are (6, –1), ( 1,3) And (x, 8). Q14. Find the point on x-axis which is equidistant from points (7, 6) and (–3, 4). Q15. A line segment joining the points (3, –4) and (1, 2) is trisected at the points P and Q. If the co-ordinates of P and Q are (p, –2) and (5/3, q) respectively. Find p and q. Q16. Determine ratio in which the point P(m, 6) divides the join of A(–4, 3) and B(2, 8). Also find m. Q17. Prove that the four points whose co-ordinates are (0, 5), (–2, –2), ( 5, 0) and (7, 7) form rhombus. Q18.Prove that (–5, 6), (3, 0) and (9, 8) are the vertices of an isosceles right-angled triangle. Q19. The co-ordinates of the mid points of the sides of a triangle are (1, 1) , (2, –3) and (3, 4). Find The co-ordinates of its centroid. Q20.If two vertices of an equilateral triangle are (0, 0) , ( 3,√3 ), find the third vertex. Q21. Find the lengths of the medians of a ∆ABC whose vertices are A (7, –3) , B (5, 3) and C (3, –1). Q22. The line joining the points (2, 1) and (5, 8) is trisected at the points P and Q. If point P lies on the line 2x – y + k = 0, find the value of k. Q23. If the point (x, y) is equidistant from the points (a+ b , b –a) and (a – b, a + b), prove that bx = ay. Answers Ans 1.(7/4, 7/8) Ans2. (5, –4) and (6, 0) Ans3. 2:1 Ans4. 3:4 Ans5.( –3, 5) Ans6. (a) 2:3 and (0, 1)(b) 1: 2 Ans7.65 and (1/3, 5/3) Ans8. (a) (0, 1) , (6, 3) and ( 2, 5)(b) (1,3) , (5, 5) and ( 3, –3) Ans9.(a) (1, –2)(b) (3, 2) Ans10. (–1, 3) Ans11. (1, 2) Ans12. (–3, 3/2) , (–2, 3) and (–1, 9/2) Ans13. 5 or –3 Ans14. 3 Ans15. p = 7 /3 and q = 0 Ans16. 3:2 , m =–2/5 Ans19. (2, 2/3) Ans20.(0,2√3 ) or (3, -√3) Ans21. 5, 5,√10 Ans 22. –8 Q1 A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of60°with the wall, find the height of the wall. (7.5 √3 )
Q 2 A pole 12 m high casts a shadow 4 √3 m long on the ground. Find the angle of elevation (60°) Q 3 The angle of elevation of the top of a tower from a point on the ground is 30° if on walking 30m towards the tower, the angle of elevation becomes 60°.Find the height of the tower.(15√3 ) Q 4 An observer 1.5m tall is 20.5m away from a tower 22m high. Determine the angle of elevation of the top of the tower from the eye of the observer. (45°) Q 5 An aero plane when flying at a height of 5000m from the ground passes vertically above another aero plane at an instant when the angles of the elevation of the two planes from the same point on the ground are 60° and 45° respectively. Find the vertical distance between the aero planes at the instant. (2116.5m) Read more » Download More Test paper 10th_heights_and_distances_test_paper_1 Download File 10th_application_of_trigonometry _Test paper -2 Download File |
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