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In ∆ABC, AD ⊥ BC, if BD = x units, then x is: Sol: a² + x² - 2ax + h² = b² …(ii) from subtracting (i) from (ii) a² – 2ax = b² – c²

If (4x + 3y + 9) (3x + 7y – 8) is equal to ax² + by² + cxy + dx + ey – f, Find the value of a+b+c/d-e÷f a) -8.43 b) -9.84 c) -3.64 d) -2.67 Sol: (4x + 3y + 9) (3x + 7y – 8) = 21y² + 12x² + 37xy – 5x + 39y – 72 = equation. a = 12 b = 21 c = 37 d = -5 ...

If 24√3x3+2√2y3=(2√3x+√2y)(Ax2+Bxy+cy2) then (2A+√6B-C) is equal to? a) 10 b) 14 c) 6 ...

Study the pie chart and answer the follows questions. Break-up (degree-wise) of the number of students in five students in five school (A,B,C,D and E) in a city total number of students =5800 The number of students in school C is what percentage more than the number of students in school ...

The figure shows square U & square V inside square QRST. The area of square U is 49 cm². i f the area of square V is 169 cm². find perimeter of shaded part. a) 40 ...

What is the HCF of 4/5, 5/6, 6/19? a) 1/380 b) 2/570 c) 1/570 d) None of these Sol:

The probability that a man will live 10 more years is ¼ and the probability that his wife will l ive 10 more years is 1/3. The probability that neither of them will be alive in 10 years is? a) 5/12 b) 1/2 c) 7/12 d) 11/12 Sol:

How many natural numbers up to 2001 are divisible by 3,4 but not by 5? a) 768 b) 801 c) 934 d) 1067 Sol: Divisible by 3 till 2001 = 667 Divisible by 4 till 2001 = 500 Divisible by 12 till 2001 = 166 ⇒ Divisible by 3, 4 = 667 + 500 – 166 = 1001

How many pairs of positive integers(of m,n) satisfy the equation m² + 105 = n² a) 2 b) 3 c) ...

The value of the expression (cos⁶θ + sin⁶θ – 1)(tan²θ + cot²θ + 2) is: (a) 0 (b) -1 (c) -3 ...