Unattributed TMUA Mock Set A Paper 1
20 questions · 75 min · Difficulty 46 · by Unattributed
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Questions in this paper
- Question 1f(x) is a quadratic function in x. The graph of y=f(x) passes through the point (-1,12) and has a turning point at (3,-4). Find an…
- Question 2Let a>0. The sum of all binomial coefficients in the expansion of (2x-dfrac a√(x))^n is 64, and the constant term in the expansion is 60…
- Question 3\a_n\ and \b_n\ are two arithmetic sequences, where (a_k)/(b_k) (1≤ k≤5) is a constant value. Given a_1=288, a_5=96 and b_1=192, what is…
- Question 4The graphs of a quadratic function y=ax^2+bx and an exponential function y=(dfrac ba)^x can be:
- Question 5The graph of the curve represented by the equation √(x-1)log_(10)(x^2+y^2-1)=0 is
- Question 6If the circle C:(x-1)^2+y^2=1 is tangent to the circle C_2:x^2+y^2-8x+8y+m=0, then the value of m can be
- Question 7In the sequence \a_n\, a_1=-frac14 and a_n=1-frac1a_(n-1) (n>1), then the value of a_(2014) is
- Question 8The greatest value which the function f(x)=bigl(3sin^2(10x+11)-7bigr)^2 takes, as x varies over all real numbers, equals
- Question 9The number of roots of the equation √(x)-ln x-2=0 is
- Question 10Which of the following graphs is the graph of the function y=2^(-x)sin^2(x^2)?
- Question 11The graph of the derivative function y=f'(x) of the function y=f(x) is shown in the figure. How many of the following conclusions are…
- Question 12f(x)=sin(ax+b), where a>0 and |b|≤fracπ2. x=-fracπ4 is a zero of f(x), and f(x)≤|f(fracπ4)| for all x. If there is a minimum but no maximum…
- Question 13The tangent to the curve y=(2x)/(x-1) at the point P(2,4) is parallel to the line l, and the distance between them is 2√5. Then the…
- Question 14The derivative of the function f(x) is f'(x). If there exists x_0 such that f(x_0)=f'(x_0), then x_0 is a coincidence point of f(x). How…
- Question 15l is a tangent to the curve y=x^2-2x+3, and l meets the curve at P. If the range of the x-coordinate of P is [1,frac32], then which of the…
- Question 16The graph of the function g(x) is translated to the left by fracπ6 to give the graph of f(x)=sin(2x-fracπ6). What is the minimum value of…
- Question 17If the function f(x) (x∈mathbb R) is even and the function g(x) (x∈mathbb R) is odd, then
- Question 18\a_n\ is a geometric sequence of nonzero real numbers. Which of the following holds for any positive integer k?
- Question 19f(x) is an odd function whose domain is mathbb R, and f(1)=0. When x>0, xf'(x)-f(x) 0?
- Question 20There are many beautifully shaped and meaningful curves in mathematics, and the curve C: x^2+y^2=1+|x|y is one of them. Consider the…