10 Hard SAT Math Questions (Part - 29)

Question 1 :

A circle with center (-7, -4) has a radius equal to 14. The equation x² + y² + ax + by + c = 0 represents the circle. What is the value of c?

Answer :

Question 2 :

If k = l + m, which of the following is equivalent to the expression x² - l² - 2lm - m²?

A) (x + k)²

B) (x - k)²

C) (x - k)(x + k)

D) x² - kx - k²

Answer :

Question 3 :

ax² + 148x + c

In the given expression, a and c are positive constants. If jx + k is a factor of the expression, where j and k are positive constants, what is the greatest possible value of ac?

Answer :

Question 4 :

Lines c and d are perpendicular. If the equation of line c is y = mx + b and the lines intersect at point (7, 6). Which point lies on line d?

A) (7 + m, 7)

B) (2m, 8)

C) (7 + 2m, 4)

D) (7 - 3m, 3)

Answer :

Question 5 :

What is the value of k, if the given equation only has one solution?

¼|x - 4| - 30 = 2k

Answer :

Question 6 :

In the given pair of equations a and b are constants. The graph of this pair of equations in the xy-plane is a pair of perpendicular lines. Which of the following pairs of equations also represents a pair of perpendicular lines?

13x + 17y = 10

ax + by = 10

A) 39x + 17y = 10

ax – 3by = 10

B) 13x - 17y = 10

ax + by = 10

C) 65x + 17y = 10

5ax + by = 10

D) 52x + 34y = 10

2ax + 4by = 10

Answer :

Question 7 :

Which equation correctly gives c in terms of d, e and f?

73/c = 73/d + 73/e + 73/f

A) c = d + e + f

B) c = def/(d + e + f)

C) c = (d + e + f)/def

D) c = def/(de + df + ef)

Answer :

Question 8 :

For the exponential function f, the value of f(3) is k, where k is a constant. Which of the following equivalent forms of the function f shows the value of k as the coefficient or the base?

A) f(x) = 3(4)(4)^x + 1)

B) f(x) = 3,072(4)(4)^{x - 4}

C) f(x) = 12(4)(4)^x

D) f(x) = 768(4)(4)^{x - 3}

Answer :