Maths Category X (CBSE)

You take Set zero 1 Qno. 1 to 20

Time allowed: 3 hours

Maximum Markings: 100

Standard Instructions:

(i) Question number 1 to 15 take 2 markings each.

(ii) Question number 16 to 25 carry 4 represents each.

(iii) Question quantity 26 to 30 carry 6 signifies each.

(iv) Write the serial number of the question before attempting this. (v) Make use of logarithmic and trignometric dining tables is allowed. Use of calculator is certainly not permitted. ________________________________________

Section -- A

Q1) Find the value of k for which the system of equations does not have solution: 3x - 4y + six = 0

kx + 3y - 5 sama dengan 0 (Marks 2) =1. 25

Response

Q2) Discover the g. c. deb. of the following polynomials:

2x2 - by - you and 4x2 + 8x + 3 (Marks 2) =

Answer

Q3) When a = (x + 1)/(x - 1), find A -- 1/A inside the simplified contact form. (Marks 2) Answer

Q4) Form the quadratic equation in x in whose roots happen to be 2 + 5 and 2 -- 5. (Marks 2) Response

Q5) The camp radii of two proper circular cones of the same height are inside the ratio a few: 5. Get the ratio of their very own volumes. (Marks 2) Answer

Q6) A color T. Versus. is available for Rs. 13, 440 inclusive of sales tax. In the event the original cost of T. V. is Rs. 12, 000 find the speed of florida sales tax. (Marks 2) Answer

Q7) Evaluate: cot 54o/tan 36o + suntan 20o/cot 70o - two (Marks 2) Answer

Q8) Simplify: (1 + tan2 )(1 -- sin )(1 + desprovisto ) (Marks 2)

Answer

Q9) Provide evidence that: sin /(1 - cos ) = cosec & cot. (Marks 2) Answer

Q10) In Fig. you, ABC and DEF are very similar. The area of ABC is definitely 9 sq . cm and area of OUTL is sixteen sq . cm. If BC = installment payments on your 1 cm, find the size of EF. (Marks 2)

Answer

Q11) In Fig. 2, To is the hub of the ring and ABDOMINAL is a chord of the circle. Line QBS is a tangent to the ring at W. If AOB = 110o, find APB and ABQ. (Marks 2)

Response

Q12) In Fig. three or more, chords STOMACH and COMPACT DISK intersect in P. In the event AB = 5 centimeter, PB = 3 centimeter and PD = 4 cm, get the length of DISC. (Marks 2)

Answer

Q13) Estimate the median of the subsequent data:

83, 37, 70, 29, 45, 63, 41, 70, 31, 54 (Marks 2)

Q14) Find the Crude Fatality Rate (CDR) for this data: (Marks 2) Age bracket

(in years)PopulationNumber

of Fatalities

0 - 105000250

12 - 252000120

25 -- 458000150

45 - 70700080

Above 703000250

Answer

Q15) Flow Data. Omitted being out of Syllabus. (Marks 2)

Section - W

Answer

Q16) Resolve for the following system of equations graphically: two times + y - three or more = zero

2x - 3y -- 7 = 0 (Marks 4)

Solution

Q17) Factorise. Omitted, becoming out of Syllabus. (Marks 4)

Solution

Q18) A guy has only 20 paise coins and 25 paise coins in the purse. If perhaps he provides 50 money in all totaling Rs. 11. 25, just how many coins of each really does he include? (Marks 4) Answer

Q19) Divide 30 into two parts in order that the sum from the squares in the parts can be 425. (Marks 4) Answer

Q20) The diameter of any sphere is 42 centimeter. It is dissolved and driven into a cylindrical wire of 28 cm diameter. Locate the length of the wire. (Marks 4) Answer

Q21) " In a triangular, a series drawn seite an seite to one side, to meet the other side in distinct factors, divides the 2 sides inside the same ratio". Prove. (Marks 4) Answer

Q22) The perpendicular ADVERTISING on the basic BC of the ABC intersects BC at D so that DB sama dengan 3CD. Provide evidence that 2AB2 sama dengan 2AC2 & BC2 (Marks 4)

Solution

Q23) Find the mean of the pursuing data: (Marks 4)

School IntervalFrequency

0 - 108

10 -- 2010

20 - 309

30 -- 4012

forty five - 5011

Answer

Q24) Algorithm. Omitted, being away of Syllabus. (Marks 4)

Answer

Q25) Flow Data. Omitted, becoming out of Syllabus. (Marks 4)

Section - C

Answer

Q26) Resolve for times:

4(x2 + 1/x2) + 8(x - 1/x) - 29 sama dengan 0 (Marks 6)

Solution

Q27) A tower within a city is usually 150 m high and a multistoried hotel in the city center is twenty m large. The perspective of height of the the top of tower towards the top of the resort is 5o. A building, h metre distances high, is situated on the direct road linking the structure with the city centre at a distance of 1. a couple of km through the tower. Locate the value of h if the the top of hotel, the most notable of the building and the the top of tower are in a...