What is the radius of the circle passing through the point (

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

31.

What is the radius of the circle passing through thpoint (2, 4) and having centre at the intersection of the lines - = 4 and 2x + 3y + 70 = 0 ?

  • 3 units

  • 5 units

  • 33 units

  • 52


D.

52

x - y = 4Multiplying by 2, we get2x - 2y = 8                 ...i2x+ 3y = - 7            ...ii-    -         +       - 5y = 15         y = - 3Putting the value of y in (i)then we get x = 1The point of intersection of two diameters is centre which is the point C(1, - 3), P(2, 4) Radius of the circle= 1 - 22 +  - 3 - 42= 1 + 49= 50= 52 units


Advertisement
32.

What is the equation of the hyperbola having latus rectum and eccentricity 8 and 35 respectively.

  • x225 - y220 = 1

  • x240 - y220 = 1

  • x240 - y230 = 1

  • x230 - y225 = 1


33.

If the ellipse 9x2 + 16y2 = 144 intercepts the lin3x + 412, then what is the length of the chord sforme?

  • 5 units

  • 6 units

  • 8 units

  • 10 units


34.

What is the eccentricity of rectangular hyperbola ?

  • 2

  • 3

  • 5

  • 6


Advertisement
35.

What is the curve which passes through the point (1, 1and whose slope i2yx ?

  • Circle

  • Parabola

  • Ellipse

  • Hyperbola


36.

Consider the parabola y = x2 + 7x and the straight liney = 3- 3.

What are the coordinates of the point on the parabola which is closest to the straight line ?

  • (0, 2)

  • ( - 2,  - 8)

  • ( - 7, 2)

  • (1, 10)


37.

Consider the parabola y = x2 + 7x and the straight liney = 3- 3.

What is the shortest distance from the above point on the parabola to the lin?

  • 102

  • 105

  • 110

  • 54


38.

If the angle between the lines joining the end points of minor axis of the ellipse x2a2 + y2b2 = 1 with one of its foci is π2, then what is the eccentricity of the ellipse ?

  • 12

  • 12

  • 32

  • 122


Advertisement
39.

In the parabola, y2 = x, what is the length of the chord passing through the vertex and inclined to the x-axis at an angle θ ?

  • sin(θ) . sec2(θ)

  • cos(θ) . cosec2(θ)

  • cot(θ) . sec2(θ)

  • 2tan(θ) . cosec2(θ)


40.

Let P(x, y) be any point on theellipse 25x2 + 16y2 = 400. If Q(0, 3) and R(0, 3) are two points, then what is (PQ + PR)

  • 12

  • 10

  • 8

  • 6


Advertisement