MCQOPTIONS
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MCQOPTIONS
This section includes 1274 Mcqs, each offering curated multiple-choice questions to sharpen your SRMJEEE knowledge and support exam preparation. Choose a topic below to get started.
| 1201. |
In ΔABC, ∠A = 90° AD is the bisector of ∠A meeting BC at D, and DE ⊥ AC at E. If AB = 10 cm and AC = 15 cm, then the length of DE, in cm, is: |
| A. | 7.5 |
| B. | 6 |
| C. | 6.25 |
| D. | 8 |
| Answer» C. 6.25 | |
| 1202. |
Let ΔABC ~ ΔRPQ and \(\frac {ar (\Delta ABC)}{ar(\Delta RPQ)} = \frac 4 9\). If AB = 3 cm, BC = 4 cm and AC = 5 cm, then PQ (in cm) is equal to: |
| A. | 12 |
| B. | 6 |
| C. | 5 |
| D. | 4.5 |
| Answer» C. 5 | |
| 1203. |
If the co-ordinates of extremities of diameter of a circle are (7, -1), (5, 3), then its centre and radius are - |
| A. | (6, 1), √5 |
| B. | (6, 1), √2 |
| C. | (1, -2), 5 |
| D. | (1, -2), √5 |
| Answer» B. (6, 1), √2 | |
| 1204. |
In the adjacent figure, a and b are |
| A. | alternate exterior angles |
| B. | corresponding angles |
| C. | alternate interior angles |
| D. | vertically opposite angles |
| Answer» D. vertically opposite angles | |
| 1205. |
M is the midpoint between -7 and 3. Write the integer for M? |
| A. | 0 |
| B. | -1 |
| C. | -2 |
| D. | 1 |
| Answer» D. 1 | |
| 1206. |
A and B are the centres of two circles with radii 11 cm and 6 cm respectively. A common tangent touches these circles at P &Q respectively. If AB = 13 cm, then the length of PQ is |
| A. | 13 cm |
| B. | 17 cm |
| C. | 8.5 cm |
| D. | 12 cm |
| Answer» E. | |
| 1207. |
Calculate the value of ∠OBC + ∠BAC, if O is the circum centre of the triangle ABC inscribed in the circle. |
| A. | 60o |
| B. | 90o |
| C. | 120o |
| D. | 130o |
| Answer» C. 120o | |
| 1208. |
From which of the following quadrants does the line 7x + 12y = 16 will pass? |
| A. | I and II |
| B. | II and III |
| C. | I, II, III |
| D. | I, II, IV |
| Answer» E. | |
| 1209. |
In the given figure O is the centre of the circle and AD is the tangent to the circle at A. If ∠CAD = 55° and ∠ADC = 25° then find ∠ABO |
| A. | 10° |
| B. | 15° |
| C. | 25° |
| D. | 20° |
| Answer» B. 15° | |
| 1210. |
In a circle with center O, diameter AB and a chord CD intersect each other at E, AC and AD are joined. If ∠BOC = 48° ∠AOD = 100°, then what is the measure of ∠CEB? |
| A. | 74° |
| B. | 72° |
| C. | 82° |
| D. | 78° |
| Answer» B. 72° | |
| 1211. |
From a point Q, the length of the tangent to a circle is 40 cm and the distance of Q from the centres is 41 cm. The radius of the circle is _______ cm. |
| A. | 9 |
| B. | 7 |
| C. | 8 |
| D. | 10 |
| Answer» B. 7 | |
| 1212. |
In a circle with centre O, AB is the diameter and CD is a chord such that ABCD is a trapezium. If ∠BAC = 40°, then ∠CAD is equal to: |
| A. | 10° |
| B. | 15° |
| C. | 20° |
| D. | 50° |
| Answer» B. 15° | |
| 1213. |
ABCD is a rectangle. Its diagonals meet at O. If OA = 2x + 4 and OD = 3x + 1, then value of x - 2 is: |
| A. | -1 |
| B. | -2 |
| C. | 2 |
| D. | 1 |
| Answer» E. | |
| 1214. |
In the given figure, AP and BP are tangents to a circle with centre O. If ∠APB = 62° then the measure of ∠AQB is: |
| A. | 59° |
| B. | 28° |
| C. | 118° |
| D. | 31° |
| Answer» B. 28° | |
| 1215. |
If the ∠ABC and ∠ACB of triangle ABC is 80° and 60° respectively. If the Incenter of the triangle is at point ‘I’ then calculate angle BIC. |
| A. | 55° |
| B. | 80° |
| C. | 110° |
| D. | 120° |
| Answer» D. 120° | |
| 1216. |
In a pi-diagram there are three sectors. If the ratio of the angles of the sectors is 1 : 2 : 3, then what is the angle of the largest sector? |
| A. | 200° |
| B. | 180° |
| C. | 150° |
| D. | 120° |
| Answer» C. 150° | |
| 1217. |
Point P is the midpoint of segment AB. Co - ordinates of P is (- 5, - 2) and A is (- 2, 0). What are the co - ordinates of point B? |
| A. | (- 8, - 4) |
| B. | (- 8, 4) |
| C. | (8, - 4) |
| D. | (8, 4) |
| Answer» B. (- 8, 4) | |
| 1218. |
In the figure given below, PQR is a non-isosceles right-angles triangle, right angled at Q. If LM and QT are parallel and QT = PT, then what is ∠RLM equal to? |
| A. | ∠PQT |
| B. | ∠LRM |
| C. | ∠RML |
| D. | ∠QPT |
| Answer» C. ∠RML | |
| 1219. |
In ΔABC, AB = 6 cm, AC = 8 cm, and BC = 9 cm. The length of the median AD is∶ |
| A. | \(\frac{{\sqrt {317} }}{2}cm\) |
| B. | \(\frac{{\sqrt {119} }}{2}cm\) |
| C. | \(\frac{{\sqrt {115} }}{2}cm\) |
| D. | \(\frac{{\sqrt {313} }}{2}cm\) |
| Answer» C. \(\frac{{\sqrt {115} }}{2}cm\) | |
| 1220. |
In triangle ABC, the length of BC is less than twice length of AB by 3 cm. The length of AC exceeds the length of AB by 9 cm. The perimeter of triangle is 34 cm. The length (in cm) of the smallest side of the triangle is: |
| A. | 9 |
| B. | 7 |
| C. | 10 |
| D. | 8 |
| Answer» C. 10 | |
| 1221. |
Let ABCD be a rectangle. Let P, Q, R, S be the mid-point of the sides AB, BC, CD, DA respectively. Then the quadrilateral PQRS is a; |
| A. | Square |
| B. | Rectangle, but not be a square |
| C. | Rhombus, but not be a square |
| D. | Parallelogram, but need not be a rhombus |
| Answer» D. Parallelogram, but need not be a rhombus | |
| 1222. |
In the given figure, OX, OY and OZ are the perpendicular side bisectors of the three sides of the triangle. If ∠QPR = 65° and ∠PQR = 60°, then what is the value (in degrees) of ∠QOR + ∠POR? |
| A. | 250° |
| B. | 180° |
| C. | 210° |
| D. | 125° |
| Answer» B. 180° | |
| 1223. |
In the figure, in ΔPQR, PT ⊥ QR at T and PS is the bisector of ∠QPR. If ∠PQR = 78°, and ∠TPS = 24°, then the measure of ∠PRQ is: |
| A. | 42° |
| B. | 39° |
| C. | 30° |
| D. | 40° |
| Answer» D. 40° | |
| 1224. |
In the given figure, if AD = 12 cm, AE = 8 cm and EC = 14 cm, then what is the value (in cm) of BD? |
| A. | 50/3 |
| B. | 15 |
| C. | 8/3 |
| D. | 44/3 |
| Answer» D. 44/3 | |
| 1225. |
If coordinates of A and B are (5, 6) and (9, 10) respectively then length of line segment AB is |
| A. | 13.66 |
| B. | 9.66 |
| C. | 5.66 |
| D. | 7.66 |
| Answer» D. 7.66 | |
| 1226. |
In gradient-intercept form of equation y = mx + c, 'm' denotes |
| A. | gradient of independent variable |
| B. | intercept on y-axis |
| C. | gradient of straight line |
| D. | intercept on x-axis |
| Answer» D. intercept on x-axis | |
| 1227. |
In gradient-intercept form of equation y = mx + c, point where line cuts y-axis is |
| A. | (3, c) |
| B. | (0, c) |
| C. | (1, c) |
| D. | (2, c) |
| Answer» C. (1, c) | |
| 1228. |
In gradient-intercept form of equation y = mx + c, 'c' denotes |
| A. | gradient of straight line |
| B. | intercept on x-axis |
| C. | gradient of independent variable |
| D. | intercept on y-axis |
| Answer» E. | |
| 1229. |
Distance between points (2, 5) and (7, -3) is |
| A. | 6.43 |
| B. | 9.43 |
| C. | 12.43 |
| D. | 15.43 |
| Answer» C. 12.43 | |
| 1230. |
If points of straight line are A(1, 2) and B(6, 2) then line AB is |
| A. | horizontal line with equation y = 2 |
| B. | vertical line with equation y = 2 |
| C. | horizontal line with equation x = 6 |
| D. | vertical line with equation x = 6 |
| Answer» B. vertical line with equation y = 2 | |
| 1231. |
If y = 5x + c passes through point A(5, 2) then value of 'c' is |
| A. | −21 |
| B. | −23 |
| C. | −25 |
| D. | −27 |
| Answer» C. −25 | |
| 1232. |
Straight line equation y = 5x - 2 has gradient of |
| A. | x + y |
| B. | xy |
| C. | 2 |
| D. | 5 |
| Answer» E. | |
| 1233. |
If points of straight line are M(7, 1) and N(7, 2) then line MN is |
| A. | horizontal line with equation with x = 1 |
| B. | vertical line with equation with x = 2 |
| C. | vertical line with equation with x = 7 |
| D. | vertical line with equation with x = 7 |
| Answer» D. vertical line with equation with x = 7 | |
| 1234. |
If coordinates of A and B are (2, 2) and (9, 11) respectively then length of line segment AB is |
| A. | 11.4 |
| B. | 13.4 |
| C. | 15.4 |
| D. | 17.4 |
| Answer» B. 13.4 | |
| 1235. |
According to Pythagoras theorem, distance between points (-3, 8) and (8, -5) is |
| A. | 19.03 units |
| B. | 11.03 units |
| C. | 15.03 units |
| D. | 17.03 units |
| Answer» E. | |
| 1236. |
If a line passes through point A(0, c) and has gradient 'm' then equation will be |
| A. | y = mx + c |
| B. | c = xy + m |
| C. | m = xy + c |
| D. | cx = y + m |
| Answer» B. c = xy + m | |
| 1237. |
Consider a line passing through (16, 4) and (36, 6), gradient of this line is equal to: |
| A. | -0.1 |
| B. | 0.1 |
| C. | -10 |
| D. | 10 |
| Answer» C. -10 | |
| 1238. |
Consider a line passing through (1, 2) and (4, 8), gradient of this line is equal to: |
| A. | 1 ⁄ 2 |
| B. | -1 ⁄ 2 |
| C. | 2 |
| D. | -2 |
| Answer» D. -2 | |
| 1239. |
Length of line joining two points (1, 2) and (4, 8) is: |
| A. | 3 |
| B. | 9 |
| C. | ?45 |
| D. | 45 |
| Answer» D. 45 | |
| 1240. |
Coordinates of midpoint of line joining two points (1, 2) and (4, 8) are: |
| A. | (2.5, 10) |
| B. | (5, 5) |
| C. | (5, 10) |
| D. | (2.5, 5) |
| Answer» E. | |
| 1241. |
Coordinates of midpoint of line joining two points (x1, y1) and (x2, y2) are: |
| A. | ((x2 - x1) ⁄ 2, (y2 - y1) ⁄ 2) |
| B. | ((x2 + x1) ⁄ 2, (y2 + y1) ⁄ 2) |
| C. | ((x2 - x1), (y2 - y1)) |
| D. | ((x2 + x1), (y2 + y1)) |
| Answer» C. ((x2 - x1), (y2 - y1)) | |
| 1242. |
Length of line joining two points (x1, y1) and (x2, y2) is: |
| A. | (x2 - x1) + (y2 - y1) |
| B. | ?((x2 - x1) + (y2 - y1)) |
| C. | ?((x2 - x1)2 + (y2 - y1)2) |
| D. | (y2 - y1) ⁄ (x2 - x1) |
| Answer» D. (y2 - y1) ⁄ (x2 - x1) | |
| 1243. |
Sum of roots of a quadratic equation is equal to: |
| A. | -b ⁄ 2a |
| B. | -2b ⁄ a |
| C. | -b ⁄ a |
| D. | b ⁄ a |
| Answer» D. b ⁄ a | |
| 1244. |
Value of b2 - 4ac determines nature of roots, for not-real roots, b2 - 4ac is: |
| A. | lesser than 0 |
| B. | equal to 0 |
| C. | greater than 0 |
| D. | None of the above |
| Answer» B. equal to 0 | |
| 1245. |
Value of b2 - 4ac determines nature of roots, for real and equal roots, b2 - 4ac is: |
| A. | lesser than 0 |
| B. | equal to 0 |
| C. | greater than 0 |
| D. | None of the above |
| Answer» C. greater than 0 | |
| 1246. |
Value of b2 - 4ac determines nature of roots, for real and different roots, b2 - 4ac is: |
| A. | lesser than 0 |
| B. | equal to 0 |
| C. | greater than 0 |
| D. | None of the above |
| Answer» D. None of the above | |
| 1247. |
Solve equations: 2x2 + y2 = 600, 3xy = 600 |
| A. | x = 10, y = 20 |
| B. | x = 20, y = 10 |
| C. | x = -10, y = -20 |
| D. | x = -20, y = -10 |
| Answer» B. x = 20, y = 10 | |
| 1248. |
Solve equations: x + 2y = 23, x + y + z = 33, x + 2z = 43 |
| A. | x = 1, y = 21, z = 11 |
| B. | x = 11, y = 1, z = 21 |
| C. | x = 1, y = 11, z = 21 |
| D. | x = 21, y = 11, z = 1 |
| Answer» D. x = 21, y = 11, z = 1 | |
| 1249. |
Solve equations: x + 2y = 13, x + y + z = 12, 2y + z = 11 |
| A. | x = 3, y = 4, z = 5 |
| B. | x = 5, y = 4, z = 3 |
| C. | x = 4, y = 5, z = 3 |
| D. | x = 3, y = 5, z = 4 |
| Answer» C. x = 4, y = 5, z = 3 | |
| 1250. |
Find by using formula roots for following equation: ax2 + bx + c |
| A. | (-b±?(b2 - 4ac)) ⁄ 2a |
| B. | (b ± ?(b2 - 4ac)) ⁄ 2a |
| C. | (-b ± ?(b2 + 4ac)) ⁄ 2a |
| D. | (-b ± ?(b2 - 4c)) ⁄ 2a |
| Answer» B. (b ± ?(b2 - 4ac)) ⁄ 2a | |