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4251.

ht Fig. 6.15. < PQR< PRQ, then prove that

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4252.

Q7. A straight line passes through the point with position vector 2i ++4k and is in the direction of i -j+2k.Find the equations of the line in vector and in cartesian form

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4253.

If Vector a-2, 3jtk. Find the unit vector along the vector a-2i+3+. Find the unit vector along the vector a

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4254.

4. Find the projection of the vector i+3j+7k on the vector 2i-3j+6

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4255.

हरि न०८ the identity' (sin O + cos 6) (tan © + cot 6) = sec O + ००४५५ 0(ICSE 2014)W ० तक

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LHS-(sinA + cosA)(sinA/cosA + cosA/sinA)

​(sinA + cosA)(sin^ + cos^2A/sinAcosA)

sinA + cosA/sinAcosA

​RHS-

1/cosA + 1/sinA=sinA+cosA/sinAcosA=secA+cosecA

4256.

f tir laoi ofcei teopopod by(a) 400%(b) 100%(c)200%(d) none of these

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Let the radius of the cone be r and height be h.

Now the height is double to 2h.

So, percentage change in volumenew volume- initialvolume/initial volume1/3πr^2(2h-h)/1/3πr^2h*(100)100 percentage

4257.

L o Bl iy il

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Ans :- Unity in diversityis a concept of "unity without uniformity and diversity without fragmentation" that shifts focus from unity based on a mere tolerance of physical, cultural, linguistic, social, religious, political, ideological and/orpsychological differences towards a more complex unity based on an understanding that difference enriches human interactions. It has applications in many fields, includingecology,bcosmology,philosophy, religionandpolitics.

4258.

L M il 1 का RE वक्त *

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Like if you find it useful

4259.

) P il n—1(e) "P.= gt L

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thank u

4260.

SAQ-IShort Answer Type Questions-IQ. 1. Use Euclid's division algorithm to find the HCF of 135 and 225.Solution. By division algรถrithm.Step 1. Since 225 > 135, we apply the division Lemma to 225 and 135, we get225 1 35 x 1 + 90Step 2. Since the remainder 90 0, we apply the division Lemma to 135 and135 90 x 1 4590, we

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By euclid's division algorithm225=135×1+90135=90×1+4590=45×2+0hence the hcf is 45

4261.

13. On a scale drawing, 1 centimeter represesthe drawing would be used to represent 6.5 meters?ale drawing, 1 centimeter represents 4 meters. What length on

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1cm -> 4m6.5cm -> 4 × 6.5 = 26m

4262.

Unit of surface charge density is(A) Coulomb/metre2(C) Coulomb/Volt(B) Newton/metre(D) Coulomb metre

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Surface charge density (σ) is the quantity of charge per unit area, measured in coulombs persquaremeter (C. m−2), at any point on a surface charge distribution on a two dimensional surface. Linear charge density (λ) is the quantity of charge permeter length, measured in coulombs per meter. Option D

4263.

6) A profit of 5% is made by selling cloth at63 per metre. What will be the loss or gainby selling it at 52.50 per metre?

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it will be not loss and not profit

it will not be a loss nor profit

Find the buying price i.e

100%=Buying price

100+5=105% i.e selling price105%=63 rs what about 100% to get the buying price100/105 *63 =60 i.e the Buying priceProfit/loss = Selling price -Buying priceSo ;52.50-60= -7.5When the answer is negative it mean it is a lossLos of rs 7.5

Read more on Brainly.in - https://brainly.in/question/2585529#readmore

12 RS per metre selling price

4264.

1.UIC FURNET UT teri IS II LTE AP100, 20, 22.2. The angles of a triangle are in A.P. If the smallest angle is 50,smallest angle is 50°, find the other twangles.

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Let the angles are(a - d), a, (a + d)

a - d = 50°........ (1)

Sum of all angles of triangle is 180°(a - d) + a + (a + d) = 1803a = 180a = 180/3 = 60

Put value of a in eq(1)60 - d = 50d = 60 - 50 = 10

Therefore, Angles are:a - d = 50°a = 60°a + d = 60 + 10 = 70°

thanks a lot

4265.

2. (i) A line passes through the points (6, 7, 1) and 2, 3, 1). Find the direction ratios and(ii) Find the direction cosines of the line joining the two points (2,4,-5) and (1, 2, 3). INCERTdirection cosines of the line.

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4266.

The direction cosines of z-axis are -

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4267.

uic ab0ve data.If the ratio of mean and median of certain data is 5:7, then find the ratioof its mode and mean.

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4268.

238. The cost of 3-metres of cloth is? 302. Find the cost of 2 metres of cloth.

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Thanks its great

4269.

Explain the steps needed to determine the value of the expression shown below. Be sure to providehe correct value of the expression in your explanation.2-Point Holistic Rubric)UNNbalay shows the weekly change in the price of one gram of gold for four weeks.

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=-5/4+(-1/4)=-5-1/4=-6/4=-3/2

4270.

ar(AABC)ar(APQR)9āand AB # 18 cm, then find the length of

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tqsister

4271.

er day?5. Find the cost of 3 metres of cloth atmetres of cloth at 63 per metre

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4272.

Find the cost of 3 metres of cloth at 63 per metre.

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141.75 is the correct answer of the given question

4273.

22. Find the cost 3 metres of cloth at Rs.63 Per metre.metre.

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4274.

day?5. Find the costUNmetres of cloth at 63 per metre.und of 60km/hr. How 1

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4275.

5. In a trapezium ABCD, AB | | DC, AB = 30 cm, BC15 cm, DC 44 cm and AD 13 cm. Find thearea of the trapezium.

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Translate D by vector AB, and let its image be E. Quadrilateral ABED is a parallelogram, so EB is equal in length to DA. Now consider triangle EBC. All three sides are known.

EB = 13 cmBC = 15 cmCE = 14 cm

Use Heron's formula. For triangles that is. There is no Heron's formula for quadrilaterals.

(13 + 15 + 14)/2 = 21

area(EBC) = √[21(21 - 13)(21 - 15)(21 - 14)]= √[21(8)(6)(7)]= √(7056)= 84

Let EC be the base of that triangle. Find its corresponding height.

(base)(height)/2 = area14h/2 = 84h = 12

The height of triangle EBC is 12 cm. That is also the height of the trapezium.

area(ABCD) = (AB + DC)h/2= (30 + 44)(12)/2= 444 cm²

4276.

ar (AABC)/ar(AQRP)=9/4 AB=18 cm and BC=15 cm, then find PR.

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Ar(ABC)/ar(PQR)=K²

K IS CONSTANT

K=3/2

SINCE TRIANGLES ARE SIMILAR

BC/PR=K

PR=BC/KPR=15x2/3

PR=10

4277.

ar (ABC) 9, AB 18 cm, BC15 cm. Find the value of PR.ar (PQR) 45. Ifsin a

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4278.

aT(AABC) 9rRAB 18 cm and BC15 cm, then find thelength of PQ.

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Area of ∆ ABC/Area of ∆QRP = 9/4

AB = 18 cm , BC = 15 cm So PQ = ?

We know when two triangles are similar then " The areas of two similar triangles are proportional to the squares of their corresponding sides.

Area of ∆ ABC/Area of ∆ QRP = AB2/QR2 = BC2/PR2 = AC2/QP2

Now substitute all given values and get

9/4 = 152/PQ2

Taking square root on both hand side , we get

3/2 = 15/PQ

PQ = 10 cm

4279.

P SAABC)9 and BC 15 cm, then find PR.anAABC) 9arnAQRP) 4 and BC 15 c

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4280.

9. In AABC, AD L BC. Find the lengthof BC13 cm12 cm15 cm

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4281.

arAABCand BC 15 cm, then find PR.

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ar(ABC)/ar(PQR)=K²

K IS CONSTANT

K=3/2

SINCE TRIANGLES ARE SIMILAR

BC/PR=K

PR=BC/KPR=15x2/3

PR=10

4282.

9. In AABC, AD L BC. Find the lengthof BC.13 cm12 cm 15 cmFig. 10.36

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in ABD D=90So DC=root(225-144)=root(81)=9in ABD D=90so BD=root(169-144)=root(25)=5so BC=BD+DC=9+5=14

4283.

AABC)9ar(AQRP)4and BC- 15 cm, then find PR.

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4284.

How many milimetres in one kilometre

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We know 1km=1000m =1000×100cm =1000×100×10mm

4285.

1. (a) How many centimetres makekilometre?

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1 kilometre=

100000 centimetres

1 kilometre

100000 Centimeters.

4286.

express in decimal : 18 m into centimetre and kilometre

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4287.

Y THESE 1 (iii)(a) How many centimetres makekilometre?

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1 kilometre=100000 centimetres

100000 Centimeters.

4288.

To repair a road, it costs 24,000 a mileow much does it cost to repair a? (1 mile = 1.6 km)kilometre

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4289.

2. A car travels a distance of 270 kilometres in 4 1/2 hours. Find its speed.

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4290.

A student noted the number of cars passing through a spot on a road for 100periods each of 2 minutes and compiled data in the following table29.No.of 0-10 10-20 20-30下0-40 40-50 50-60 60-70 70.80No.of7x 13 15y.140.0Periods

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4291.

: A car travels the distance between Delhi to Chandigarh in 4 hours. If thedistance between the two towns is 140 km, what is the average speed of the car?

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Time=4hoursDistance=140kmSpeed=Distance/time=140/4=35km/hr

4292.

If the cost of 32 apples is 96, find the cost of 652/ A car travels 220 km in 4 hours. How

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cost of 35 apple =961apple is=96/32=3then cost of 65 apple is =65×3195is right answer

195 is the correct answer of the given question

x=65*36/32x=65*3x=195

4293.

Find the direction cosines of the line:\frac{x-1}{2}=-y=\frac{z+1}{2}

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4294.

Places A and B are 80 km apart from cach other on a highanother from B at the same time. If they move in same direction they meet in 8 hours and ifway. A car starts from A andthey move towards each other they meet in I hour 20 minutes. Find the speed of cars

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4295.

4. Equiangular triangles are drawn on sides of right angled triangle in whichperpendicular is double of its base. Show that area of triangle on the hypotenuse isthe sum of areas of the other two triangles?

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4296.

Places A and B are 80 km apart from each other on a highway. A car starts from A and another from Bat the same time. If they move in same direction theymeet in 8 hours and if they move towards eachother they meet in 1 hour 20 minutes. Find the speed of cars.

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4297.

5. Places A and B are 80 km apart from each other on a highway. A car starts from A andanother from B at the same time. If they move in same direction they meet in 8 hours and ifthey move towards each other they meet in 1 hour 20 minutes. Find the speed of cars.

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4298.

Places A and B are 80 km apart from each other on a highway. A car starts from A andother from Bat the same time. If they move in the same direction, they meet in 8 hours andif they move in opposite directions, they meet in 1 hour and 20 minutes. Find the speedsof the cars.

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it may be said that was the founder of modern historiography

4299.

5. Suppose ABC is an equiangular triangle. Prove that it isequilateral.(You have seen earlier that an equilateralequiangular. Thus for triangles equiangularity is equivalent toequilaterality.)

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4300.

prove that" Equiangular triangle are similar"

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