Here,  x - 2y  = -7 ........... (i)  3x + 7y  = 5  ........... (ii) Writing these equations in matrix form,   1-237xy = -75.........(iii) let,  1-237 = A, xy = X and -75 = B Now, AX = B or, X = .....

Let a be the first term , n be the numbers of terms and d be the common difference. Then, a = -24 tn = 72 or, a + (n - 1)d = 72 or, (n - 1)d = 96  ............(i)  [ Since, a = -24.] Again,  Sn = n/2[ 2a + (n-1)d] or, .....

Denote the expression by f(x). Now, substitute natural numbers in the place of x Until you get f(x) = 0.  The number for which f(x) = 0 is one solution of the equation. Represent the number by a,  For which f(a) = 0. You may have .....

व्यक्तिवाचक नामः  रामायण, पोखरा, छठ (कुनै खास, व्यक्ति, पदार्थलाई तोकेर बुझाउने) जातिवाचक .....

नेपाल एक बहुजातीय, बहुधार्मिक, बहुसांस्कृतिक सम्पदाले भरिपूर्ण देश हो ।  यहाँ वसन्त ऋतुमा .....

अनारको बोट कथाको सारांश र बुँदाटिपोट सुन्दर गाउँमा कल्पलता नाम गरेकी आमा बस्थिन् । उनको .....

We know  Power = Work / .....

Blood pressure is the pressure exerted by the column of blood on the blood vessel. Blood pressure depends on the force at which heart pumps the blood. The pressure of Liquid is given by : P=hdg where h =height of liquid column(blood in this .....

Here, point (2, -1) lies on the curve kx2 - 2y2- 2x + 3y - 3 = 0 . So, put x = 2 & y = -1, we get k(2)2 - 2(-1)2- 2(2) + 3(-1) - 3 = 0 . or, 4k - 2 - 4 - 3 - 3 = 0 or, 4k = 12 or, k = 12/4 = 3 Thus, k = .....

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LHS = (SecA - tanA + 1)/(secA - tanA) = (SecA - tanA+ sec2A - tan2A)/(secA - tanA) [ Since, sec2A - tan2A = 1.] = [(SecA - tanA) +( SecA + tanA)( secA - tanA)] / (secA - tanA) [ Using formula of a2 - b2.] = (secA - tanA)( 1 + .....

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Life is all about happiness and as human beings, social interaction with our fellow beings not only brings happiness but help us grow our capacity to learn the language, familiarize with cultures, enquire and think, play and work. Festivals .....

= (b + c) ∗ a = b ∗ a + c ∗ a = ba + .....

= 19x2 + 11x + 15 - ( -5x2 - 6x - 6 ) = 19x2 + 11x + 15 + 5x2 + 6x + 6 = 19x2 + 5x2 + 11x + 6x + 15 + 6 = 24x2 + 17x + .....

Please check the question and send again. It cannot be .....

= 2a2 + 3ab - a2 - ab = 2a2 - a2 + 3ab - ab = a2 + .....

Hydrogen was first discovered, although unknowingly and unintentionally, by the legendary alchemist Paracelsus, who was also known by the name T.B. Von Hohenheim, from the 15th .....

Here,  First expression = p4 - 2p2 + 1                             = (p2)2 - 2p2.1 + 12               .....

Autotrophs make their own food. Typically, we think of plants as autotrophs, and this is true, but there are other kinds as well. Plants, algae, phytoplankton, and some bacteria are photosynthetic, meaning they use sunlight to make sugar, which .....

In the nucleus of each cell, the DNA molecule is packaged into thread-like structures called chromosomes. Each chromosome is made up of DNA tightly coiled many times around proteins called histones that support its .....

Here, [ 2a    -1] -3-a = [ 10]  or, [2a(-3) + (-1) (-a) = [ 10] or, [ -5a] = [10] Now compare the corresponding elements and get a. You will get a = - .....

Here,   [ a     b] 23 = [ 1    4]ab  Multiplying we get, or, 2a + 3b = a + 4b or, 2a - a = 4b - 3b Simplify and get .....

Here ia an example. Please look it and try your question: Question: Find the equation of the altitude of a triangle PQR drawn from the vertex Q upon PR whose vertices are P (2, 3), Q (-4, 1) and R (3, .....

Here, we have given, Principal = P = Rs.3600 Rate = R = 5.5%  Interest =I = Rs.594 Time = T = ? We know,  T = P ⨉ 100/ IR     = Rs.3600 ⨉ 100/ ( Rs.594 ⨉ 5.5)     = .....

Did you mean rate = .....

Here,  No.of terms in GP= n =8 Sum of first 4 terms = 45 or, (arn - 1)/(r - 1) = 45            [ Where,  a is first term and r is common ratio.] or, (ar4 - 1)/(r - 1) = 45 .....