Important Questions of Straight Lines Mathematics | Zigya

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
71.

A curve y = memx where m > 0 intersects y-axis at a point P. What is the equation of tangent to the curve at P ?

  • y = mx + m

  • y = mx + 2m

  • y = m2x + 2m

  • y = m2x + m


72.

A curve y = memx where m > 0 intersects y-axis at a point P. How much angle does the tangent at P make with y-axis ?

  • tan-1m2

  • cot-11 + m2

  • sin-1m21 +m4

  • sec-11 + m4


73.

A curve y = memx where m > 0 intersects y-axis at a point P. What is the slope of the curve at the point of intersection P ?

  • m

  • m2

  • 2m

  • 2m2


74.

If 3x 4y 5 = 0 and 3x 4y + 15 = 0 are the equations of a pair of opposite sides of a square, then what is the area of the square ?

  • square units

  • square units

  • 16 square units

  • 25 square units


Advertisement
75.

What is the obtuse angle between the lines whose slopes are 2 3 and 2 + 3 ?

  • 105°

  • 120°

  • 135°

  • 150°


76.

If the foot of the perpendicular drawn from the point (0, k) to the line 3x – 4y – 5 = 0 is (3, 1), then what is the value of k ?

  • 3

  • 4

  • 5


77.

Let ABC be a triangle. If D(2, 5) and E(5, 9) are the mid-points of the AB and AC respectively, then what is the length of the side BC ?

  • 8

  • 10

  • 12

  • 14


78.

If the circumcentre of the triangle formed by the lines x + 2 = 0, y + 2 = 0 and kx + y + 2 = 0 is (1, 1), then what is the value of k ?

  •  - 1

  • - 2

  • 1

  • 2


Advertisement
79.

The point (1, 1) is one of the vertices of a square. If 3x + 2y = 5 is the equation of one diagonal of the square, then what is the equation of the other diagonal ?

  • 3x 2y = 5

  • 2x 3y = 1

  • 2x 3y = 5

  • 2x + 3y = 1


80.

What is the area of the region enclosed between the curve y2 = 2x and the straight line y = x ? 

  • 12

  • 1

  • 23

  • 2


Advertisement