Poverty is a state or condition in which a person or community lacks the financial resources and essentials for a minimum standard of living. Poverty means that the income level from employment is so low that basic human needs can't be .....

Here, Area of circle = πr2 = 22/7 x (28cm)2 = 2464cm2. Or, Area of sector with angle 360o = 2464cm2 or, Area of sector with angle 1o = 2464/360 = 6.8444cm2 So, Area of the sector with angle 150o = 150 x .....

Here, Let: A = (3,-2), B = (5,2) & C = (8,8).  Let B divides AC in the ratio k:1 Then the co ordinates of B is ((8k+3/k+1),(8k-2/k+1)) But the co ordinates of B is (5,2) Comparing we get (8k+3/k+1)=5 ⟹ 8k + 3 = 5k + 5 ⟹ .....

Statements Reasons 1. QX = XR = EX 1. In right angle triangle QRX, mid-point of the hypotenuse is equidistance from the vertex. 2. ∡EQX = ∡QEX(x) 2 From 1 EX = QX. 3. ∡P .....

Here,     2x - 2 = 12 or, 2x = 12 + 2 or, 2x = 14 or, x = 14/2 or, x = 7 Thus, x = .....

Here,     3(x + 3) - 2(x - 1) = 5(x - 5) or, 3x + 9 - 2x + 2 = 5x - 25 or, 9 + 2 - 25 = 5x - 3x + 2x or, - 14 = 4x  or, x = -14/4 = - 7/2 Thus, x = .....

Here,      5(x - 2) + 3(x + 1) = 25 or, 5x - 10 + 3x + 3 = 25 or, 5x + 3x = 25 + 10 - 3 or, 8x = 12 or, x = 12/8 or, x = 3/2 is the required .....

Here,       8(2x - 5) - 6(3x - 7) = 4 or, 16x - 40 - 18x + 42 = 4 or, - 2x + 2 = 4 or, - 2x = 4 - 2 or, - 2x = 2 or,  x = 2/(-2) or, x = - 1. Thus, x = - 1 is the required .....

Here,           5(2x - 3) - 3(3x - 7) = 5 or, 10x - 15 - 9x + 21 = 5 or, 10x - 9x  = 5 + 15 - 21` or, x = -1  Thus, x = .....

By generator By cell 1. It produces AC. 1. It produces DC. 2. It is the current of magnitude varying with time. 2. It is the current of constant magnitude. 3. The frequency is 50 - 60 Hz. 3. .....

Given:  AD = BD & AE = CE To prove: AP = PQ Proof:  Statements Reasons 1. In ∆ ABC, DE//BC 1. D & E are the mid-points of sides AB & AC. 2. DP // BQ 2. The parts of the lines DE .....

Given:  BD = AD & BF= FG. To  prove:  BE = CE Proof:  Statements Reasons 1. In ∆ ABG, DF//AG 1. D & F are the mid-points of sides AB & BG. 2. FE//GC 2. Extended parts .....

Given: AD // BC, AE = CE & DN =CN, To prove:  AM = BM. Proof:  Statements  Reasons  1. In triangle ABC,EN //AD  1) Given that E & N are the mid-points of    sides AC & .....

We have Given; AD//PD//BC & AP = BP, To prove : DQ =CQ. Proof:  1) In triangle ADB,      R is the midpoint of BD 1) Since AD//PR & P is the mid-point of AB    (by mid-point theorem .....

Here, AP/PB = 2/3 = m1:m2. Now, by using section formula, Vector OP = (m1. vector n + m2. vector m)/(m1 + m2)                  = (2 vector n + 3 vector m)/(2 + 3)   .....

Here, AC = 2 CB, so C is the mid-point of AB. My mid-point formula, Vector OC = (vector p + vector .....

Here, In triangle ARP, Vector AR = AP + PR..............(i) In triangle ARQ, Vector AR = AQ + QR = AQ - RQ.............(ii) Adding (i) & (ii), 2 AR = AP + PR + AQ - RQ Since, PR = RQ, so 2AR = AP + .....

From the given diagram, Vector OP = (vector a + .....

The magnitude of the induced electromotive force (emf) in an electric generator will be increased if the speed of rotor is doubled. The reason is: If the speed is doubled, the time period will be halved and the EMF, or amplitude, will be .....

Here, S = ({H, T} n(S) = 2. Sample space (S) = {HH, HT, TH, .....

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The blind spot is the only part of the retina that does not have light-sensitive nerves. Therefore, even though the light falls on it, electrical signals won't form and the image can't be .....

This is because photoreceptors are sensitive to light. The photoreceptor rods contain the pigment rhodopsin that allows us to see in dark or dim light but they do not help in detecting color. The photoreceptor cones contain the pigment rodeos in .....

Touch sensation is aroused by the stimulation of the skin. Sensations on the skin are observed by cutaneous receptors. These receptors may feel perception such as "pain, tickle, cold, hot, soft", and rough. Touch is the skin sensation .....

Night blindness is a condition characterized by an abnormal inability to see in dim light or at night, typically caused by vitamin A deficiency. It happens when the rod cells in the retina gradually lose the ability to respond to .....

Here is an example: In the given figure ABCD is a parallelogram. L and M are the mid-points of sides BC and CD respectively. Prove that: 2(AL⃗+AM⃗)= .....

Here, First expression = 13ab²(x3 - 3a²x + 2a3) = 13ab²(x3 + ax2 + a2x + ax2 - 2a2x  + 2a3) = 13ab.b{x2(x + a) + ax (x + a) - 2a2(x + a)} = 13ab.b(x + a)(x2 + ax - 2a2) = 13ab.b(x+ .....

Speed is distance travel by the object per unit time. Acceleration is the velocity per unit time. Given the question, Initial velocity (u) = 0 m/s Acceleration (a) = 4m/s2 Time (t) = 5 sec.  Final velocity (v) = ? By using .....

A meniscus is a curve in the surface of a molecular substance when it touches another material. With water, you can think of it as when water sticks to the inside of a glass. A meniscus can go up or down. It all depends on if the molecules of the .....

Draw a perpendicular AE from A to the line CD as shown in the diagram. In right angled triangle AED,  AE2 = AD2 - DE2         = 132 - 122         = 52 So, AE = 5cm. Now,  .....

Under normal conditions, a worker bee is physiologically exhausted from the tasks of secreting royal jelly and wax when she reaches the age of about 14 to 18 .....

Here,  Slant height(l) = 7cm Radius, r = 6.5cm So, r = √{l2 - r2}          = √{72 - 6.52}            = 2.6cm Now,  CSA of Solid = CSA of cone + .....

Vectors are very important when it comes to finding out the directional aspects of physical quantities,i.e, the net force or flux or acceleration and predicting many consequences while studying to bodies in physics. When you are out refreshing, you .....

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We know,  Vector AC = vector AB + vector BC                   = -5i - 7j + 7i + j                   = 2i - .....

Here, LHS = m( vector a + vector b) = 2((-2, 1) + (7, -3)) = 2(-2 + 7, 1 - 3) = 2(5, -2) = (10, -4) RHS = m vector a + m vector b = 2(-2, 1) + 2(7, - 3) = (-4, 1) + (14, -6) = (-4 + 14, 1 - 6) = (10, - 4) = .....

Here, Vector OP = 4a - 3b and vector OQ = 2a + 5b. Vector PQ = ? We know, Vector PQ = Vector OQ - vector OP                  = 2a + 5b - 4a + 3b               .....

By Triangle rule of vector addition, (i) Vector AB + vector BC =  Vector AC (ii) Vector DO + vector OC = Vector DC (iii) Vector DC + vector CA = Vector DA. (iv) Vector DO + vector AD = Vector .....

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Let radius (r) = 4x then, slant height (l) = 5x We know, l2 = h2 + r2 or, 25x2 - 16x2 = 62 or, x2 = 4 or, x = 2. Thus, r = 4x = 8cm and l = 5x = 10cm. Now,  TSA of the solid is given by Area of circular base + .....

Given, tanA + secA = 3

or, ,sinA/cosA + 1/cosA =3

or, sinA + 1= 3cosA

Squaring on both sides,

or, 1+(sinA)2 +2sinA =9(cosA)2

or, 1+ sin2A +2sinA =9(1-sin2A)

or, , .....

Human capital is the human resources which utilises financial and natural resources during developmental .....

We have give sinA - cosA = (√3 - 1)/2 Squaring both sides, we get {sinA - cosA}2 = {(√3 - 1)/2}2 or, sin2A - 2 sinA cosA + cos2A = (3 - 2√3 + 1)/4 or, 1 - 2sinA cosA = (2 - √3)/2         [ .....

If the earth was not falling around the sun, it would fly wildly out of orbit under its own inertia. The falling trajectory of the earth around the sun, combined with earth's tilt, is what causes the different seasons. All the planets in our .....

The executive is one of the three important organs of a state. The others are Legislature and Judiciary. The executive is responsible for putting the laws and order into effects. A competent executive is necessary for a state for the following .....

Sandwiched between Asian giants Indian and China, Nepal is a landlocked country. The foreign policy of Nepal is guided by the abiding faith in the United Nations and the policy of nonalignment. The basic principles guiding the foreign policy of .....

Here,  vector a + vector b = (0 + k, -√3 - 2√3) = (k, -3√3) Magnitude = √{k2 + (-3√3)2} or, 6 = √{k2 + 27} or, 36 = k2 + 27 or, k2 = 9 or, k = 3. Now, vector a + vector b .....

Here, Vector a = pi - √27j  = (p, - √27) We know,  Tan60o = -√27/p or, √3 = - 3√3/p or, p = - .....

Here,  Vector a = mi - 8j = (m, -8) Magnitude of vector a = √{m2 + (-8)2} or, 10 = √{m2 + 64} or, 100 = m2 + 64 or, m2 = 36 or, m = - 6 or .....

Here,  Vector a = 3i - √3j = (3, -√3) Direction (θ) = Tan-1(3/-√3) = Tan-1(-√3) = 360 - 60 = 300o. Magnitude of vector AB = √{32 + (-√3)2}= √12 = 2√3 .....