Two matrices are the same if their number of rows and columns are the same and the corresponding elements are also equal. For example, A = B... View Article
In Algebra, we deal with various types of equations such as, linear equations, quadratic equations, cubic equations, rational equations and many... View Article
The answer is “Yes”. We can connect 2 or more capacitors in series. When the capacitors are connected in the form of series combination, the... View Article
The answer is “Yes”. The derivative of any function is the rate of change of the value of function. The derivative of constant function is... View Article
Integrate two variables also known as integration by parts. It is a special kind of integration method when two variables are multiplied... View Article
1) 2i - k 2) i - 2k 3) 2i + k 4) None of these Answer: (3) 2i + k Solution: Given, AB = 3i + j - k and AC = i - j + 3k and P is equidistant... View Article
1) 8/17 2) 9/17 3) 25/17 4) 4/17 Answer: (2) 9/17 Solution: Say, D is the origin DA = A - D = a ⇒ A = a AB = B - A = b ⇒ B = a + b CB =... View Article
1) i + 2j + k 2) -⅓ i + 4/3 j - ⅓ k 3) i - j + k 4) None of these Answer: (2) -⅓ i + 4/3 j - ⅓ k Solution: Given, vectors a = i+j, b = j+k... View Article
1) a 2) b 3) a - b 4) a + b Answer: (2) b Solution: Given, (b.b)a - (a.b)b We can write it as: b x (a x b) Therefore, b is the required vector.... View Article
1) 30° and 150° 2) 45° and 135° 3) 60° and 120° 4) 90° and 90° Answer: (4) 90° and 90° Solution: Given, adjacent sides of a parallelogram... View Article
1) collinear 2) perpendicular to each other 3) inclined at an acute angle 4) inclined at an obtuse angle Answer: (4) inclined at an obtuse... View Article
1) A,B and C 2) A,C and D 3) A,B and D 4) B,C and D Answer: (3) A,B and D Solution: Given, points A, B, C and D have position vectors a, 2a... View Article
1) √(72) 2) √(33) 3) √(288) 4) √(18) Answer: (2) √33 Solution: A median of the triangle divides the opposite side into two equal parts AB +... View Article
1) ½ (a+b) 2) ⅓ (a+b) 3) ⅔ (a+b) 4) ⅙ (a+b) Answer: (2) ⅓ (a+b) Solution: Let G be the centroid of a triangle ABC. AB = a, AC = b If A is... View Article