Study the following graphs carefully and answer the following questions

(i) Number of Zeros of a polynomial is defined as the number of times the curve cut the

(a) X – axis

(b) Y – axis

(c) Both x and y axis

(d) None of the above

(ii) Number of zeroes of the polynomial in fig-A and fig-B

(a) 1, 2

(b) 2, 3

(c) 2, 1

(d) 3,2

(iii) Polynomial of the curve in fig-A

(a) x² + 3x – 4

(b) x² + 3x + 4

(c) x² - 3x – 4

(d) x² - 3x + 4

(iv) Polynomial of the curve in fig-B

(a) 2x³ – 4x

(b) 3x³ – 4x

(c) x³ + 4x

(d) x³ – 4x

Find the values of k for which the system of equations kx – y = 2, 6x – 2y = 3 has a unique solution.

At a DIWALI mela, a stall keeper in one of the food stalls has a large cylindrical vessel filled with orange juice and small cylindrical glasses.

(i). If the small cylindrical glass having base radius 2r and height h is open at the top, then total surface area is

(a) 2πr(r + h)

(b) 3πr(r + h)

(c) 4πr(r + h)

(d) None of the above

(ii) Volume of the large cylindrical vessel of radius R and height H is

(a) πR²H

(b) 1/3πR²H

(c) 4/3πR³

(d) 2/3πR³

(iii) If large cylindrical vessel has base radius = 15 cm, height = 32 cm and small cylindrical vessel has base radius = 3 cm, height = 8 cm. Then the number of small cylindrical vessel filled with juice out of a large cylindrical vessel is

(a) 500

(b) 100

(c) 150

(d) 200

(iv) If the stall keeper sold small glass of juice for Rs 3 each, amount received by the stall keeper by selling the juice completely is

(a) ₹ 250

(b) ₹ 275

(c) ₹ 300

(d) ₹ 325

Consider the points P(6, 4) and Q(–5, –3). Draw QS perpendicular to the x-axis. Also draw a perpendicular PT from the point P on QS (extended) to meet y-axis at the point R.

(i) Coordinates of point T is

(a) (-5, 5)

(b) (-5, 4)

(c) (-4, 5)

(d) (4, -5)

(ii) Equation of line PT is

(a) x = 4

(b) x + y = 0

(c) y = 4

(d) x – y = 0

(iii) Distance between points P and Q is

(a) 14 units

(b) 15 units

(c) 13.5 units

(d) None of the above

(iv) If S be any point in the 4th quadrant such that PTQS is the rectangle, then coordinates of point S is

(a) (6, -3)

(b) (5, -4)

(c) (6, -4)

(d) None of the above

A survey regarding the heights (in cm) of 50 girls of a class was conducted and the following data was obtained

(i) Mean height (in cm) of the girls is

(a) 146.8

(b) 147.8

(c) 148.8

(d) 149.8

(ii) The commutative frequency table is useful in determining the

(a) Mean

(b) Median

(c) Mode

(d) All of these

(iii) Lower limit of the median class is

(a) 130

(b) 140

(c) 150

(d) None of the above

(iv) Sum of lower limit of median class and modal class is

(a) 270

(b) 290

(c) 310

(d) None of these