Question
Given Two Matrices A and B with AB = [b 7; 4 5] — Find a and b
If A = , B = and AB = , find the values of a and b.
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Question
The 4th and the 7th terms of an A.P. are 60 and 114 respectively
The 4th and the 7th terms of an A.P. are 60 and 114 respectively. Find: (a) the first term and the common…
Question
Assertion: The 9th Term of the G.P. 6, −12, 24, −48, … Is Positive
Assertion (A): The 9th term of the G.P. 6, −12, 24, −48, … is positive. Reason (R): (−2)⁸ is positive. (a) A…
Question
Order of AB for A as a 2 × 2 Matrix and B as a 1 × 2 Matrix
If A = and B = , then the order of AB is: (a) 2 × 2 (b) 2 × 1 (c)…
Question
In the given figure, AOB is a right-angled triangle and C is the midpoint of the hypotenuse AB
In the given figure, AOB is a right-angled triangle and C is the midpoint of the hypotenuse AB. If the coordinates of…
Question
What must be added to x³ + 7x² + 3x + 2 so that the resulting polynomial is exactly divisible by x + 2?
What must be added to x³ + 7x² + 3x + 2 so that the resulting polynomial is exactly divisible by x…
Question
The areas of two similar triangles are in the ratio 9 : 64. The ratio of their corresponding altitudes is
The areas of two similar triangles are in the ratio 9 : 64. The ratio of their corresponding altitudes is: (a) 3…
Question
Assertion: Probability of Getting a Number Greater Than 6 on a Die Is 1/6
Assertion (A): The probability of getting a number greater than 6 on throwing a die is . Reason (R): The possible outcomes…
Question
The nature of the roots of the equation 3x² − 6x − 3 = 0 is
The nature of the roots of the equation 3x² − 6x − 3 = 0 is: (a) Real and equal (b) Real,…
Question
Cyclic Quadrilateral with ∠CDE = 65° — Find the Central Angle x
In the given figure, ABCD is a cyclic quadrilateral. DE is produced to E and ∠CDE = 65°. If x is the…