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• Q. Prove that: sec2A+tan2A=tan(45+A)
• Q. Prove that: (2cos2A-1)(2cos2A+1)(2cos4A-1)(2cos8-1)=2cos16A+1
• Q. Prove that: 4(cos^4A+sin^4A)/(cos^4A-sin^4A)=(3+cos4A)Sec2A
• 9. Write a program to count the number of words in a sentence.
• 11. Write a progra to find whether the supplied word is palindrome or not. A word is called palindrome, if it reads the same from both the sides. (e.g. MADAM)
• Gita can do a piece of work in 3 days which can done by sita in 4 days .if sita can do a piece of work in 5 days which can done by rita in 6 days ,,in how many dayd will gita can do a work can be done by rita 16days?
• Prove that: (sec^2A+1)(sec^4A+1)(sec^8A+1)=tan8A.cotA
• Are you appearing in S.E.E. exams? Don't forget to follow the following tips:
• The sum of the digits of two-digits number is 10. If 18 is added to the number , its digits are reversed. Find the number.
• The sum of present ages of a brother and his younger sister is 16 years . If the product of their ages is 63. Find their ages.
• The sum of the ages of the father and son is 44 years. After 8 years, the age of the father will be twice the age of the son. Find their present ages.
• If A+B+C=pi , prove that: sin5A+sin5B+sin5C=4cos(5A/2).cos(5B/2).cos(5C/2)
• Q. If a sum becomes Rs. 6480 in 3 years and Rs. 7776 in 4 years, interest being compounded annually, find the sum and rate of interest.
• Bibha said to Bigyata," I'm twice as old as you were when I was as old as you are.". If the sum of their present age is 35 years. Find the present ages.
• In a cirlce having radius 7 cm, a tangent 25 cm far from the centre is drawn. What is the length of tangent? Find it.
• In the given figure, O is the center of the circle. If ABOC is a rhombus, find the value of angle BAC.
• What is the output of the following program?
• Calculate value of sin18 without using calculator.
• If three children are born in a family, calculate the probability that all children are girls by drawing a tree diagram.
• A card is drawn randomly from the pack of 52 cards and a dice is thrown once. Determine the probability of not getting a club or not getting 6 on the dice.
• A card is drawn randomly from the pack of 52 cards, find the probability of getting neither a king nor an ace.
• If A, B, C are the angles of a triangle , prove that: tanA + tanB + tanC = tanA. tanB. tanC
• Prove that: (2cosA + 1)(2cosA - 1)(2cos2A - 1) = 2cos4A + 1
• Transform the equation x/a + y/b = 1 into normal form and hence show that 1/a^2 + 1/b^2 = 1/p^2.
• In which era human beings and dinosaurs lie ?
• Prove that: [tan(alpha)+sec(alpha)-1]/[tan(alpha)-sec(alpha)+1] = [1+sin(alpha)]/cos(alpha)
• Explain about domestic electric current.
• Prove that: cos^2(A+120)+cos^2(A-120)+cos^2(A) = 3/2
• In a survey one third of children like only mango and 22 don't like mango at all.Also,2/3 children like orange but 12like none of these -show in venn diagram. -how many children like both types of fruits.
• If A, B, C and D are angles of a quadrilateral and sin(A/2).sin(B/2).Sin(C/2).sin(D/2) = 1/4, prove that A = B = C = D = pi/2
• The volume of the combined solid made up of cylinder of height 80cm and hemisphere whose radius is equl to that of cylinder is 2707cm^3. Find the Total Surface Area.
• n is an integer from 1 to 50, what is the probability that n(n+1) is (a) a multiple of 5? (b) a multiple of 6?
• Simplify: a/(1-2a) + a/(1+2a) + 2a/(1+4a^2) + 16a^3 /(16a^4-1)
• In the survey between 54 peoples the ratio of playing football and volley ball is 5:4.18 people like both games from venn diagram find the number of people who play football. One person should like one games.
• Simplify:
• If vector a and vector b are unit vectors and theta is the angle between them, then prove that: 1/2|vector a - vector b| = sin (theta/2).
• P, Q, R is the midpoint of sides, AS perpendicular to BC. Prove that PQRC is cyclic quadrilateral.
• After 10% deviation of Nepali money, $2000 can be exchanged by Rs. 231000. Find the initial exchange rate.
• The population of a village increases every year by 10% p.a. and before 1 year 100 people died because of diarrhoea. If the population of the village was 5000 before 3 years, find the present population of the village.
• A computer was bought for Rs. 44100. Its value is reduced by Rs. 4100 in 2 years, find the rate of depreciation.
• How Ceramic is prepared?
• Prove that: sin6.sin42.sin66.sin78 = 1/16
• The annual compound interest on a sum of money in 2 years and 3 years are Rs. 210 and Rs. 331. Find the interest rate and principal.
• From the top of the tower on the sea shore anjan observes a boat coming to the shore at angle of depression of 30 degree after 10 min he finds the angle of depression 60 degree what time will take the boat to reach the bottom of the tower on shore from the starting point?
• 11. Find the number of geometric means inserted between 1 and 243 in which the ratio of the first mean to the last mean is 1:27.
• 40 marbles are equally divided among a certain number of children. If there were 2 children less, each would have received 1 more marble. Find the number of children.
• If the curved surface area of cylinder is two-third of the total surface area and radius of its base is 6cm, find the height of the cylinder.
• Find the value of x.
• Solve: tan(theta)+tan2(theta)+root3tan(theta)tan2(theta) = root(3) [ 0 degree <= theta <=360 degree]
• Prove that: angle AXD = 1/2 (arc AD - arc Bc)
• Prove that: 8[1+sin(pi/8)][1+sin(3pi/8)][1-sin(5pi/8)][1-sin(7pi/8)] = 1
• Prove that: (sin3Acos2A-cos3ASin2A)/(cos3Acos2A+sin3Asin2A) = TanA
• SEE परीक्षाकाे लागि तयारी कसरी गर्ने ?
• Annapurna suppliers sold construction materials costing Rs 440000 to Angel suppliers making 10% profit and adding 13% VAT. Angel suppliers spent Rs 5000 for transportation cost and made 10% profit and levied local tax Rs 2500 and sold to constructor. What VAT amount should be paid by constructor?
• बिधार्थी सफल हुने तरिका
• SEE 2074 को परीक्षा तालिका सार्बजनिक
• In the given figure, O is the centre of circle. If ED||AC and angle EBC = 60, find the measure of angle DEC.
• SEE Examination 2074 Notice to all Secondary Schools
• Q. Find the L.C.M. of y^7-1/y^5 and y^4+1+1/y^4
• Q. Prove that: 4(cos^3(20)+sin^3(10))=3(cos20+sin10)
• Q. At what time will the compound interest payable half yearly on Rs 2400 be Rs 2646 at the 5% per 6 month?
• Q. Prove that: 8cos(pi/7).sin(3*pi/14).sin(pi/14) = 1
• Q. A dealer sold a photocopy machine for Rs. 4,20,000 plus adding 13% VAT to the retailer. If the retailer spent Rs. 2,500 on transportation cost, Rs. 4,000 on local tax and made Rs. 20,000 profit and then supplied to a customer, how much did the customer pay the VAT amount at the present rate of VAT?
• Q. Prove that: cos(theta)-sqrt(1+sin2(theta))/sin(theta)-sqrt(1+sin2(theta) = tan(theta)
• Q. Prove that: sin10.sin30.sin50.sin70 = 1/16
• Q. Prove the following: 1+3cos(theta)-4cos^3(theta)/1-cos(theta) = (1+2cos(theta))^2
• Q. In the given triangle ABC, AD is perpendicular to BC, and CE is perpendicular to AB. Prove that angle BDE = angle BAC.
• Q. Determine the amount of heat to be taken out a price of hot iron block of mass 300gm to cool it from 300 C to 20 C? Specific heat of iron = 480 J/kgC
• Q. The angle of elevation of an aeroplane from a point on the ground is 450. After 15 seconds of flight the angle of elevation changes to 300. If the aeroplane is flying horizontally at a height of 4000m in the same direction, find the speed of aeroplane.
• Q. At the foot of the mountain, the elevation of its summit is 45 degree. After going up at a distance of 1km towards the top of the mountain at an angle of 30 degree, the elevation changes to 60 degree. Find the height of the mounatain.
• Q. f(4x+5)=12x+18 , find the f'(x)
• Q. There are n GM's between 1/25 and 25. if the ratio of first mean to third mean is 1:25.find n.
• Q. If 2Tanα = 3Tanβ, then show that Tan(α-β) = Sin2β/(5-Cos2β)
• Q. The sum of first four terms in a G.P. is 30 and that of the last four terms is 960.if its first term is 2 and last term is 512, find the common ratio.
• Q. 60 % of the cost price and 40% of the selling price are equal. Find the profit or loss percentage?
• Q.Prove that: [1+Tan^2(pie/4-A)] / [1-Tan^2(pie/4-A)] = cosec2A
• Q. Use remainder theorem to find remainder when polynomial x^6-1 is divided by x+1.
• Q. The inverse of the function f(x)=ax+b, x∈R is f-1(x)=8x-3.
• Q. Prove that : tan20 + 4sin20 = root 3
• Q. cosec40 - root(3)sec40 = 4cot100
• Q. Find common difference and first term of an A.S if the sum of the first 6 terms and 9 terms are 183 & 369 respectively.
• Q. Determine the equation of the line the portion of which, intercepted by the axes, is divided by the point (-5,4) in the ratio 1:2.
• Q. Prove that: (cos5a.sin2a-cos4a.sin3a)/(sin5a.sin2a-cos4a.cos3a) = cot2a
• Q. If A+B+C=pie and cosA=cosB.CosC. Prove that: tanA=tanB+tanC.
• Q. Find the angle between the lines represented by the equation (x^2 + y^2)sin^2a = (xcosa – ysina)^2.
• Q. If 7 times the 7th term of an AP is equal to 11 times its eleventh term, show that the 18th term of the AP is zero.
• Q. Prove that: (cos40 – sin40)/(cos40 + sin40) = tan5
• Q. Is BA compatible ? If so compute BA, if not give reason.
• Q. 8cos^3(20) - 8sin^3(10) - 6cos20 + 6sin10 = 2
• Q. If f(x) = x^2 – 2x, g(x) = 2x + 3 and fg-1(x) = 3 then find the value of x.
• Q.In a house, four bulbs each of 60 watt glow for 5 hrs and an electric heater of 1200 watt is used 2 hrs every day. If the minimum charge up to 20 units is Rs. 80 and the charge for 21 units to 250 units is Rs. 7.30/unit, calculate the cost of electricity consumed in a month.
• Q. A body weight 63 N on the surface of the earth. What is the gravitational force on it due to the earth at a height of 3200 Km from the surface of the earth? [Radius of the earth is 6400 Km]
• Q. Evaluate: Cos6° × sin24° × cos72°
• Q. h(x) = x/(2-x) and g(x) = ax-5 are two functions. IF goh(4) = -13, find the values of 'a' and g-1(1).
• Q. Find the point which divides the line joining the points (1,-2) and (3,2) in the ratio 1:3.
• Q. If (-4,3) and (2,5) are pair of opposite vertices of a square. Find the equations of the diagonals of the square.
• Q. Unit 4 Heat
• Q. If 2^x=3^y=6^z, Prove that: 1/x+1/y=1/z.
• Q.Factorize: (a^2 - 1)(b^2-1) + 4ab?
• Q. Prove that: 2tan50 + tan20 = cot20