# Maths - Objective Type Questions - +2- Collection 1- Part 3

Part 3, questions 17-24 of collection 1. Objective type questions covering the complete mathematics syllabus of matriculation board is provided below.

17) The area of the triangle formed by the tangent at any point on the rectangular hyperbola xy = 72 and its asymptotes is

a) 36
b) 18
c) 72
d) 144

18) The centre of the ellipse is (4, - 2) and one of the focus is (4, 2). The other focus is

a) (4, 0)
b) (8,0)
c) (4, - 6)
d) (8, - 6)

19) The parametric equations of the curve x2/3+y2/3=a2/3 are

a)$x= a sin^{3}\Theta;y= a cos^{3}\Theta$
b)$x= a cos^{3}\Theta;y= a sin^{3}\Theta$
c)$x=a^{3}sin\Theta ;y=a^{3}cos\Theta$
d)$x=a^{3}cos\Theta ;y=a^{3}sin\Theta$

20)$\lim_{x->0}\frac{a^{x}-b^{x}}{c^{x}-d^{x}}$

a) infinity

b) 0

c)$log \frac{ab}{cd}$

d)$log \frac{(a/b)}{(c/d)}$

21) The function f(x) = x2 - x + 1 in [0, 1] is

a) an increasing function
b) a monotonic function
c) a decreasing function
d) neither decreasing nor increasing

22) The function f(x) = 1 - x2 in 0 ≤ x ≤ 1 has

a) no absolute maximum
b) no absolute minimum
c) no local maximum
d) absolute and local maximum

23) If  $u=\frac{1}{\sqrt{x^{2}+y^{2}}}$ then x du/dx + y du/dy is equal to

a) (1/2) u
b) u
c) (3/2) u
d) -u

24) If u= y sin x , then $\frac{\partial^2u }{\partial x\partial y}$ is equal to

a) cos x
b) cos y
c) sin x 4
d) 0

Check out Part 4 here.