Here,  Vector AB = (-3,  4) Vector CD = (-6, 8) = 2( - 3, 4) = 2 ⨯ vector AB. Thus, Vector AB is // to vector CD as it is in the form of   vector a  = k ⨯ vector .....

It is the surface tension inside the water drop which holds it to a ball shape since the glossy waxy surface does not allow water to spread using its surface .....

Let a be the first term and r be the common difference of the given GP. Then from the question,  r = 2a..............(i) And, S2 = t1 + t2 = 10 or,  a + ar = 10 or, a + .....

Sandwiched between Asain giants, India and China, Nepal is a tiny Himalayan nation. Nepal is divided into three geographical regions: Hilly region, Mountainous region and the plains of Terai. A wide range of climatic variation supports .....

Let r be the radius of cone. Then  C - d = 30cm or, 2πr - 2r = 0cm or, πr - r = 15cm or, r(π - 1) = 15cm or, r = 7cm Here, Radius = r = 7cm Slant Height = l = 25cm TSA = πr(r + l) Now, use values of r & l and .....

Let r be the radius, l is slant height and h be the height of cone. So  3CSA=2TSA or, 3πrl=2πr(r+l) or, 3 l= 2r+2l or, l=2r. Now we have relation, .....

Given,  A( 0,3 ) B( 2,-1 )& C( a,-5 ) Slope of AB (m)= ( y2 - y .....

.....

Here, CP of one sweet = 10/12 = Rs.5/6 SP of one sweet = Rs.10/3 Here, SP>CP. So, Gain = SP - CP = 10/3 - 5/6 = Rs.15/6 Finally, Gain % = Gain/CP x 100% = (15/6)/(5/6) x 100% = .....

Here, P =Rs.60500 PT = Rs.55500 T= 2 years. R = ? We know. PT = P(1 -R/100)T or, 55500 = 60500( 1 -R/100)2 or, 555/605 = ( 1 -R/100)2   Simplify and get .....

Let SR = a = 5cm, SQ = b = 4.2cm and RQ = c =  3cm. Then s = (a + b + c)/2 = ..............Find it. Area of triangle SQR = √{a(s-a)(s-b)(s-c)} Find it. Finally,  Area of qd.PQRS = 2 of area of tr. SQR. Calculate .....

Make  two figure as in figure:  Now measure the angles AOB and COD and fill in the table .....

Here,  n(MUPUV) = 20 From the diagram: (i) No.of musician who many play only Guitar and violin but not piano = 6. (ii)No. of musician who many play only violin = .....

Here, Height of pyramid (h)= 15cm - 5cm = 10cm Slant height of pyramid = √(102 + 32) = √109 cm. Height of prism = H = 5cm Length of base = a = 5cm. Now,  TSA = Area of base + LSA of Prism + LSA of .....

Write the equations in the form x-42 = sqrt(yz) ⟹ (x-42)2 = yz y-6 = sqrt(xz) ⟹ (y-6)2 = xz z+30 = sqrt(xy) ⟹ (z+30)2 = xy Trial solutions are probably the quickest method for solving these equations. .....

First expression = ( 2x4 + 4x3 )( x2 + 2x - 8 ) = 2x3(x + 2)( x2 + 4x - 2x - 8 ) = 2x3(x + 2)(x + 4)(x - 2) Second expression = ( 2x3 - 4x2 )( x2 - 2x - 8) = 2x3(x - 2)( x2 - 4x + 2x - 8 ) = .....

Here, First expression= a(a-b)2 - ac2 , = a{(a - b)2 - c2}  = a(a - b + c)(a - b - c). Second expression = a2b - b(b - c)2, = b{a2 - (b - c)2} = b(a + b - c)(a - b + c) Third expression = (a + c)2c - b2c. = c{(a .....

We have , x = 3 and 2x + 3y = 12 Solving these , we get, Put x = 3 in 2x + 3y = 12, we get y = 2. Hence passing point is ( 3 , 2) Slope of line is  2x + 3y = 8   is,  m1 = -coeff.of x / coeff.of y = -2/3. Let .....

Let the Marked Price(MP)  be x. 1st condition: D% = 25%. Therefore, SP  = MP - D% of MP = x - 25% of x = 0.75x Here, Profit = 10%. Therefore, SP  = CP - Profit% of CP or, 0.75x = .....

Since it is a two digit number, Let the number be '10x + y' Such that, 'x' is the digit in 10th place while, y in the one's place. From question, x + y = 9 ==> y = 9 - x   .....(i). And, 10( x + 3) + y = .....

Here,   We have to make the given data continuous. Marks obtained c.f. No.of students .....

Here, Height of cylinder = H = 12cm. Height of cone = h = 24 - 12 = 12cm Slant height of cone = l = √(h2 + r2) = √(122 + 3.52) = 12.5cm Now, Area of cloths = CSA of Cylinder + CSA of cone = πrl + .....

.....

Here,  Height of pyramid = h = √[l2 - (a/2)2] = √[52 - 42] = 3cm Then, height of prism = H = ? We know, volume of solid = volume of pyramid + volume of prism or, 448 = 1/3 x 82 x 3 + 82 x .....

.....

First of all, I would like to say good morning to the respected teachers, parents and my dear friends. I would like to speak on the importance of education which is must to know by all of us. Education plays a great role in the life of everyone all .....

नेपालले आफ्नो समुन्नतिका लागि धेरै कार्य गरिरहेको थियो । नेपालविभिन्न ठाउँमा छरिएका .....

Let the equal installments be x. Then,  CA = CA1 + CA2  or, P(1 + R/100)2 = x + x(1 + R/100)1 or, 5100( 1 + 4/100)2 = x + x(1 + 4/100)1 or, 5516.16 = x(1 + 1 + 4/100) or, x = 5515.14/2.04 .....

Here,  6x-5 + 66 -x = 7 or, 6x / 65 + 66 / 6x = 7 Let 6x = a, then, a/65 + 66/a = 7 or, a2 + 611 = 7 ⨯65a or, a2 -  7 ⨯65a +  611 = 0 Now factorze and .....

‘जेष्ठ नागरिकप्रति मेरो कर्तव्य’ नेपाली समाज आफूभन्दा ठूलालाई सम्मान र सानालाई माया .....

लाई → सम्प्रदान कारक र चतुर्थी .....

Your question must be:4cos3 A sin 3A + 4sin3 A cos 3A  = 3sin4A. W have formula: sin 3A = 3 sin A - 4 sin3 A  cos 3A = 4 cos3 A - 3 cos A  sin 4A = 4 (sin A cos3 A - sin3 A cos .....

x2 - 2xy cosec ϴ + y2 = 0 or, x2 + x(-2y cosec ϴ) + y2 = 0 or, comparing with ax2 + bx + c = 0, a = 1 b = (-2y cosec ϴ) c = y2 So, x = (-b +- √(b2 - 4ac))/2a or, x = (2ysecϴ  .....

१) वाञ्छनीय = इच्छा गर्न योग्य २) अदना = केही नजान्ने ३) मडारिनु = यताउता घुम्नु ४) आरु = लाम्चा पात .....

Here,∡OBE = 90o     [ Since, Radius is perpendicular to the tangent.] So, in trinagle OBD, ∡BOE  = 90o - 32o = 58o  So, ∡A = n = 1/2 of ∡BOD = 29o. [ Since, inscribed angle is half of .....

जनआन्दोलन १ र २ बिच निम्न फरकता छ: जनआन्दोलन १ पचांयती ब्यबस्था बिरुद्ध थियो भब्ने २ राजाको .....

धर्म निरपेक्षता भनेको राज्यलाई धर्मबाट अलग गर्नु हो, व्यक्तिलाई धार्मिक गतिविधिबाट अलग .....

नेपालको परिप्रेक्षमा न्यायापालिकले बिभिन्न समयमा सरकारले गरेको निर्णयलाई उल्टाएको छ .....

नेपालमा प्रतिनिधि सभा र रास्ट्रिया सभा नामका दुइ सदन सहितको एक संघिय व्यवस्थापिका छ जसलाई .....

राष्ट्रियता भनेको एक विश्वास वा भावना हो । जसको माध्यमबाट व्यक्तिले आफ्नो राष्ट्रसँग आफूलाई .....

सूचनाको हक  भन्नाले सार्वजनिक निकायमा रहेको सार्वजनिक महत्वको सूचना माग्ने र पाउने अधिकार .....

राष्ट्रियता भनेको एक विश्वास वा भावना हो । जसको माध्यमबाट व्यक्तिले आफ्नो राष्ट्रसँग आफूलाई .....

आमा, हामी सबै मामाघर जान लागेको है .....

आजभोलि बिर्खरामले सरकारी जागिर गर्न थालेकाले उनका बुबाको नाक ठाडो भएको छ .....

(१) दिलमायाको रातो चोली एकदमै पुरानो देखिन्छ तैपनि उनीले अस्ति मात्रै बजारबाट ल्याएको हो .....

१) पञ्चेन्द्रिय २) विवेकशील ३) असीम ४) मातृभूमि ५) पञ्चतत्व ६) संरचना ७) स्वावलम्बी ८) बराबर ९) .....

(क) भेरी नदीको माछा खाने भनेपछि बहिनी हुरुक्क हुन्छे । (ख) गणेशको भाइले परीक्षामा राम्रो नतिजा .....

The cat found a bone itself.  Note: Reflexive pronouns are words ending in -self or -selves that are used when the subject and the object of a sentence are the same (e.g., I believe in myself). ... The nine English reflexive .....

Here,  tn = 5n - 2 Now,  t1 = 5⨉1 - 2 = 3 t2 = 5⨉2 - 2  =  8 t3 = 5⨉3 - 2 = 13  Here, the given series is in AP, in which  First term (a) = 3 Common difference (d) = 5 Now, .....

Constitution is the overall framework of a country according to which political, socio-economic, cultural, judicial, administrative, etc. aspects are run effectively. Further, the constitution is a supreme law of the nation. It is the .....