If C is a point on the line segment joining A(- 3, 4) and B(2, 1)

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

Advertisement

21.

If C is a point on the line segment joining A(- 3, 4) and B(2, 1) such that AC = 2BC, then the coordinate of C is

  • 13, 2

  • 2, 13

  • (2, 7)

  • (7, 2)


A.

13, 2

Since, AC = 2BC

 Coordinate of C are

4 - 32 + 1, 2 + 42 + 1 i.e. 13, 2


Advertisement

 Multiple Choice QuestionsShort Answer Type

22.

A train moving with constant acceleration takes t seconds to pass a certain fixed point and the front and back end of the train pass the fixed point with velocities u and v respectively. Show that the length of the train is  12u + vt.


 Multiple Choice QuestionsMultiple Choice Questions

23.

One possible condition for the three points (a, b), (b, a) and (a2, - b2) to be collinear is

  • a - b = 2

  • a + b = 2

  • a = 1 + b

  • a = 1 - b


24.

The coordinates of the foot of perpendicular from (a, 0) on the line y = mx + am are

  • 0, am

  • 0, - am

  • am, 0

  • - am, 0


Advertisement
25.

Locus of centroid of triangle whose vertices are acost, asint bsint, - bcost and (1, 0) where t is a parameter is

  • (3x - 1)2 + (3y)2 = a2 - b2

  • (3x - 1)2 + (3y)2 = a2 + b2

  • (3x + 1)2 + (3y)2 = a2 + b2

  • (3x + 1)2 + (3y)2 = a2 - b2


26.

A house of height 100 m subtends a right angle at the window of an opposite house. If the height of the window be 64 m, then the distance between the two houses is

  • 48 m

  • 36 m

  • 54 m

  • 72 m


27.

The distance travelled by a motor car in t seconds after the brakes are applied is s feet, wheres = 22t - 12t2. The distance travelled by the car before it stops, is

  • 10.08 ft

  • 10ft

  • 11ft

  • 11.5ft


28.

The sides of triangle are in the ratio 1 : √3 : 2, then the angles of the triangle are in ratio

  • 1 : 3 : 5

  • 2 : 3 : 1

  • 3 : 2 : 1

  • 1 : 2 : 3


Advertisement
29.

If the distance between the plane Ax - 2 y + z = d and the plane containing the lines x - 12 = y - 23 = z - 34 and x - 23 = y - 34 = z - 45 is 6, then d is equal to

  • 3

  • 4

  • 6

  • 1


30.

The normal at (a, 2a) on y2 = 4ax, meets the curve again at (at, 2at ), then the value of t is

  • - 1

  • 1

  • - 3

  • 3


Advertisement