Mathematics Question for revision | Coordinate Geometry There will be 10 questions and timing will be 1 hour. 1. Find the area of a rhombus if its vertices are (3, 0), (4, 5), (– 1, 4) and (– 2, – 1) taken in order 2. Find the coordinates of the points which divide the line segment joining A(– 2, 2) and B(2, 8) into four equal parts. 3. Find the coordinates of a point A, where AB is the diameter of a circle whose centre is (2, – 3) and B is (1, 4). 4. If A and B are (– 2, – 2) and (2, – 4), respectively, find the coordinates of P such that AP = (3/7)AB and P lies on the line segment AB. 5. If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y 6. If the points A(6, 1), B(8, 2), C(9, 4) and D(p, 3) are the vertices of a parallelogram, taken in order, find the value of p 7. In what ratio does the point (– 4, 6) divide the line segment joining the points A(– 6, 10) and B(3, – 8)? 8. Determine if the point...

Mathematics Question for revision | Triangle Question There will be 10 questions and timing will be 1 hour. 1. Fill the follwoing with right answer : a) All circles are _____________. (congruent, similar) b) All ___________ triangles are similar. (isosceles, equilateral) c) Two polygons of the same number of sides are similar, if (a) their corresponding angles are ______________ and (b) their corresponding sides are ______________ proportional) 2. To prove : If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. 3. To Prove : If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side. 4. ABCD is a trapezium with AB || DC. E and F are points on non-parallel sides AD and BC respectively such that EF is parallel to AB.Show that AE/ED =BF/FC. . 5. The diagonals of a quadrilateral ABCD intersect eac...

Physics Question for revision Give The reason For following Question : 1. Why is the series arrangement not used for domestic circuits? 2. How does the resistance of a wire vary with its area of cross-section? 3. Why are copper and aluminium wires usually employed for electricity transmission? 4. Explain why, filament type electric bulbs are not power efficient. 5. State whether an electric heater will consume more electrical energy or less electrical energy per second when the length of its heating element is reduced. Give reasons for your answer. Numericals : 1. A wire that has resistance R is cut into two equal pieces. The two parts are joined in parallel. What is the resistance of the combination ? 2. An electric motor takes 5 amperes current from a 220 volt supply line. Calculate the power of the motor and electrical energy consumed by it in 2 hours. 3. Two lamps, one rated 40 W at 220 V and the other 60 W at 220 V, are connected in pa...

Physics Question for revision Give The reason For following Question : 1. Why is the tungsten used almost exclusively for filament of electric lamps? 2. Why are the conductors of electric heating devices, such as bread-toasters and electric irons, made of an alloy rather than a pure metal? 3. Why does the cord of an electric heater not glow while the heating element does? 4. What are the advantages of connecting electrical devices in parallel with the battery instead of connecting them in series? 5. Will current flow more easily through a thick wire or a thin wire of the same material, when connected to the same source? Why? Numericals : 1. An electric lamp, whose resistance is 20 Ω, and a conductor of 4 Ω resistance are connected to a 6 V battery. Calculate (a) the total resistance of the circuit, (b) the current through the circuit, and (c) the potential difference across the electric lamp and conductor. 2. A wire of given material ha...

Mathematics Question for revision There will be 10 questions and timing will be 1 hour. 1. The sum of the third and the seventh terms of an AP is 6 and their product is 8. Find the sum of the first sixteen terms of the AP. 2. Find the sum of the first 22 terms of an AP in which d = 7 and 22nd term is 149. 3. The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference. 4. How many terms of the AP : 24, 21, 18, . . . must be taken so that their sum is 78? 5. The sum of 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP. 6. How many multiples of 4 lie between 10 and 250? 7. If the 3rd and the 9th terms of an AP are 4 and -8, respectively, then which term of this AP is zero. 8. Check whether – 150 is a term of the AP: 11, 8, 5, 2 . . . 9. Which term of the AP: 21, 18, 15, . . . is – 81? Also, is any term 0? Give reason for yo...

Mathematics Question for revision There will be 10 questions and timing will be 1 hour. 1. On comparing the ratios a1/a2 , b1/b2 , c1/c2 find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident: (i) 5x – 4y + 8 = 0 7x + 6y – 9 = 0 (ii) 9x + 3y + 12 = 0 18x + 6y + 24 = 0 (iii) 6x – 3y + 10 = 0 2x – y + 9 = 0 2. Solve the following pair of linear equations by the substitution method : (i) x + y = 14 x – y = 4 (ii) s – t = 3 (s/3) + (t/2) = 6 (iii) 3x – y = 3 9x – 3y = 9 (iv) 0.2x + 0.3y = 1.3 0.4x + 0.5y = 2.3 (v) √2x + √3y = 0 √3x - √8y = 0 (vi) (3x/2) – (5y/3) = -2 (x/3) + (y/2) = (13/6) 3. The coach of a cricket team buys 7 bats and 6 balls for Rs.3800. Later, she buys 3 bats and 5 balls for Rs.1750. Find the cost of each bat and each ball. 4. A fraction becomes 9/11 , if 2 is added to both the numerator and the denominator. I...

Mathematics Question for revision There will be 10 questions and timing will be 1 hour. 1. A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Find the Length of PQ. 2. In Fig. 10.11, if TP and TQ are the two tangents to a circle with centre O so that ∠POQ = 110°, then ∠PTQ is equal to 3. If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 80°, What is the value of ∠ POA ? 4. Prove that the tangents drawn at the ends of a diameter of a circle are parallel. 5. Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre. 6. Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle. 7. A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of ...