Graph of y = x2. Table: x -5 -4 -3 -2 -1 0 1 2 3 4 5 y 25 16 9 4 1 0 1 4 9 16 25 Here, given function is continuous at x = 0 and x = .....

Religious tolerance is the state of equal status of each individual in terms of their religious beliefs. It refers to the state of no discrimination among the people in terms of their religious backgrounds. In addition, the term religious .....

Let no.of 40 paisa be x and 60 paisa be y. Then, 40x + 60y = 9⨉100  [ Since, Rs.9 = 9 ⨉ 100.] ot, 2x + 3y = 45..............(i) Again, total stamps = x + y = 20 or, x = 20 - y.........(ii) Solving (i) and (ii) or, 2(20 - y) + 3y .....

The Mediterranean region is the winter rainfall zone of the Holarctic kingdom. It is characterized by sclerophyllous plants mainly of the scrubland type known as maquis. The wine was the most popular manufactured drink in the ancient .....

सहयोग नै सन्तुष्टिको आधार हो .....

भूक्षय (माटो कटान गरी बगाउने कार्य)ः  बढी पानी परेपछि भिरालो जमिनमा भूक्षयको कारणले धेरै .....

Here, P = 50000 Pt = 66550 T = 3 years. R = ? We know, Pt = P(1 + R/100) .....

14(1 - √y) + 14(1 + √y) + 2√y4(1 - y) Taking LCM and simplifying first and second term. = (1 + √y) + (1 - √y)4(1 - √y)(1 + √y) + 2√y4(1 - y) = 1 + √y + 1 .....

Here, Radio + watch = Rs.500.......(i) And, watch = radio - 150............(ii) Solving these eqns, Or, radio + radio - 150 = 500 or, 2 radio = 650 or, radio = Rs.325 From (i), watch = 325 - 150 = .....

Here, radius of circle is r = 5 units. Centre (h,k) lies on line x - 2y = 5 So, h - 2 k = 5 or, h = 5 + 2k..................(ii) Circle passes through (4,2)  So, (x - h)2 + (y - k)2 = r2 or, (4 - h)2 + ( 2 - k)2 = .....

In this case,  c = 0, since, if one of the straight lines passes through the origin, the constant term(c) is zero. Here, line AB passes through the origin. So, option (ii) is .....

  1.  In triangle AFC and AEB, i) ∡A = ∡A             [ Common angle.] ii) ∡AFC = ∡AEB  [ Both are 90o.] iii) CF = BF            .....

Nepal is primarily an agro-based economy. A large section of its population is dependent upon agriculture. However, its farmers are still dependent upon traditional agricultural practice only. Our nation lacks industries that may support the .....

Here, Volume of cylinder = 750cm3      [ Since, 1cm2 = 1ml.] or, πr2h = 750cm3 or, r2 = 750/(22/7 x 12) or, r = 4.45 So, d = 2r = .....

Here,  23x-5×bx-2=2x-2×b1-x   or,  23x-5×bx-2 /(2x-2×b1-x) = 1 or,  23x-5-x + 2 ×bx-2 -1 + x  = 1 or, 22x - 3 b2x - 3 = 1 or, (2b)2x - 3 = .....

Here, ∡B = ∡BAO = 30o and ∡C = ∡CAO = 40o [ As, OB = OA and OC = OA.] Thus, ∡A = 30 + 40 = 70o . We know that, ∡BOC = 2 of angle A         x   = 2 ⨯ 70 = .....

This above equation can be written as LHS = .....

Here, x4/y4 - x2/y2 +16 = (x2/y2)2 + 42 - x2/y2 = {(x2/y2) + 4}2 - 2.x2/y2 . 4 - x2/y2      [ Since, a .....

We know,  Equation of straight line through the point P(a, b) and parallel to x-axis is  y = b. So, the required equation is  y = .....

If you continued to draw triangles according to question, you will see the size is in decreasing order. That means, area and perimeter is decreased in the new triangle. So, for decreasing sequences, limiting value is .....

Here, f(x) = 3x + 2. So,  f(x + h) = 3(x + h) + 2 = 3x + 3h + 2 Now, {f(x + h) - f(x)}/h = (3x + 3h + 2 - 3x - 2}/h = 3h/h = .....

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Personal hygiene is the action, habit, or practice of keeping oneself clean, especially as a means of maintaining good .....

Here, total length = 3520 ft. Total rounds = 4. So, One round length = circumference = 3520ft/4 =880 ft. We know, C = πd =880ft, or, d =  880ft or, d = 280 ft. .....

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Aaran is an ancient Nepali technology. It is a workplace for blacksmith where he/she heats and melts the metal and give them various .....

Here, TSA = 924cm2 So,  Area of base(Ab) = TSA/6             [ Since, Ab .....