InstaQB

Home
Institutions
- Institutions
  
  Polytechnic Colleges
  
  Medical Colleges
  
  Arts & Science Colleges
  
  Universities
  
  Engineering Colleges
  
  Agricultural Colleges
  
  Research Institute
  
  Law Colleges
  
  Audiology and Speech Colleges
  
  Business & Management colleges
  
  Nursing colleges
  
  Hotel Management institutes
  
  Aeronautical Colleges
  
  Bachelor's Degree
Syllabus
Courses
Stateboard
- 12th Standard English Medium
  
  Maths
  
  Physics
  
  Chemistry
  
  Biology
  
  Computer Science
  
  Business Maths
  
  Economics
  
  Commerce
  
  Accountancy
  
  History
  
  Computer Applications
  
  Computer Technology
  12th Standard Tamil Medium
  
  உயிரியல்
  
  கணினி பயன்பாடுகள்
  
  கணினி அறிவியல்
  
  வணிகக் கணிதம்
  
  வணிகவியல்
  
  பொருளியல்
  
  கணிதவியல்
  
  வேதியியல்
  
  இயற்பியல்
  
  கணினி தொழில்நுட்பம்
  
  வரலாறு
  
  கணக்குப்பதிவியல்
  11th Standard English Medium
  
  Maths
  
  Commerce
  
  Economics
  
  Biology
  
  Business Maths
  
  Accountancy
  
  Computer Science
  
  Physics
  
  Chemistry
  
  Computer Applications
  
  History
  
  Computer Technology
  
  Bio - Zoology
  11th Standard Tamil Medium
  
  கணிதவியல்
  
  உயிரியல்
  
  பொருளியல்
  
  இயற்பியல்
  
  வேதியியல்
  
  வணிகக் கணிதம்
  
  கணினி அறிவியல்
  
  கணக்குப்பதிவியல்
  
  வணிகவியல்
  
  கணினி பயன்பாடுகள்
  10th Standard English Medium
  
  Mathematics
  
  Science
  
  Social Science
  
  9th Standard English Medium
  
  Mathematics
  
  Science
  
  Social Science
  
  8th Standard English Medium
  
  Mathematics
  
  Science
  
  Social Science
  7th Standard English Medium
  
  Mathematics
  
  Science
  
  Social Science
ICSE/ISC
- Class XII
  
  Mathematics
  
  Physics
  
  Accountancy
  
  Biology
  
  History
  
  Geography
  
  Psychology
  
  chemistry
  
  Economics
  
  Computer Science
  
  Political Science
  
  Business Studies
  Class XI
  
  Accountancy
  
  Chemistry
  
  Mathematics
  
  Biology
  
  Geography
  
  Physics
  
  History
CBSE
- 12Th Standard
  
  Physics
  
  Chemistry
  
  Maths
  
  Biology
  
  History
  
  Economics
  
  Commerce
  
  Geography
  
  Socialogy
  
  Business Studies
  
  Computer Science
  
  Biotechnology Class
  
  Political Science
  
  Home Science
  11Th Standard
  
  Physics
  
  Chemistry
  
  Maths
  
  Biology
  
  History
  
  Economics
  
  Commerce
  
  Socialogy
  
  Business Studies
  
  Geography
  
  Home Science
  
  Computer Science
  
  Biotechnology Class
  
  Political Science
  10Th Standard
  
  Physics
  
  Chemistry
  
  Biology
  
  Mathematics
  
  Economics
  
  Geography
  
  History & Civics
  
  Computer Application
  9Th Standard
  
  Physics
  
  Chemistry
  
  Biology
  
  mathematics
  
  Computer Application
  
  Economics
  
  Geography
  
  History & Civics

11th Business Maths Monthly Test - 1 (Analytical Geometry)

MABS Institution

11th Business Maths Monthly Test - 1 (Analytical Geometry)-Aug 2020

Time : 2.30 Hours

Part - A

Multiple Choice Question - Answer All Question

ax² + 4xy + 2y² = 0 represents a pair of parallel lines then 'a' is

2
-2
4
-4

The equation of directrix of the parabola y² = - x is

4x+ 1 =0
4x - 1 = 0
x - 4=0
x + 4 = 0

If the circle touches x axis, y axis and the line x = 6 then the length of the diameter of the circle is

6
3
12
4

If the lines 2x - 3y - 5 = 0 and 3x - 4y - 7 = 0 are the diameters of a circle, then its centre is

(-1, 1)
(1,1)
(1, -1 )
(-1, -1)

The distance between directrix and focus of a parabola y² = 4ax is

a
2a
4a
3a

The equation of the circle with centre on the x axis and passing through the origin is

x² - 2ax + y = 0
y² - 2ay + x² = 0
x²+y²=a²
x² - 2ay + y = 0

The double ordinate passing through the focus is

focal chord
latus rectum
directrix
axis

If kx² + 3xy - 2y²= 0 represent a pair of lines which are perpendicular then k is equal to

1/2
-1/2
2
-2

The slope of the line 7x + 5y - 8 = 0 is

7/5
-7/5
5/7
-5/7

Length of the latus rectum of the parabola y² = - 25x is

25
-5
5
-25

Part - B

Generic 2 - Answer All Question

Find the equation of the following circles having the center ( 0,0) and radius 2 units

Find the equation of the circle with centre at (3, –1) and radius is 4 units.

Find the center and radius of the circle (x + 2) ( x - 5) + (y -2 ) ( y -1) = 0

Find the centre and radius of the circle x²+y²-8x+6y-24 = 0

Convert the parabola y²=4x+4y into standard form.
Find the equation of the circle whose centre is (2,3) and which passes through (1 , 4)

Find the acute angle between the lines 2x - y + 3 = 0 and x + y + 2 = 0.

If the lines x+ y = 6 and x + 2y = 4 are diameters of the circle , and the circle passes through the point (2,6) then find its equation.

Find the center and radius of the circle 5x² + 5y² +4x - 8y - 16 = 0

Find the equation of the circle on the line joining the points (1,0), (0,1) and having its centre on the line x + y= 1

Part - C

Generic 3 - Answer All Question

Determine whether the points p(1,0), Q(2,1) and R(2,3) lie outside the circle, on the ciircle or inside the circle x² + y² - 4x- 6y + 9 = 0

Find the length of the tangent from the point (2 ,3) to the circle x²+y²+8x+4y+8 = 0

Find the angle between the lines whose slopes are \(\frac { 1 }{ 2 } \) and 3

Find the locus of the point which is equidistant from (2, –3) and (3, –4).

Find the equation of the circle which touches the line x=0, y=0 and x=a.
If the distance of a point from the points (2,1) and (1, 2) are in the ratio 2:1 then find locus of the point

Find the combined equation of the straight line through the origin, one of which is parallel to and the other is perpendicular to the straight line 2x+y+1=0

A point in the plane moves so that its distance from the origin is thrice its distance from the y- axis. Find its locus.

For what value of k does 12x²+7xy+ky²+13x-y+3=0 represents a pair of straight lines?

Prove that the lines (b - c) x + (c - a) y + (a - b) = 0, (c - a) x + (a - b) y + (b - c) = 0, and (a - b) x + (b - c) y+c-a=0 are concurrent.

Part - D

Generic 5 - Answer All Question

Prove that the lines 4x+3y=10, 3x-4y=-5 and 5x+y=7 are concurrent.

If the equation ax² +5xy -6y² +12x + 5y +c = 0 represents a pair of perpandicular straight lines, find a and c.

The average variable cost of a monthly output of x tonnes of a firm producing a valuable metal is Rs. \(\frac { 1 }{ 5 } { x }^{ 2 }-6x+100\) Show that the average variable cost curve is a parabola. Also find the output and the average cost at the vertex of the parabola

Find the value of p for which the straight lines 8px+(2-3p)y+1 = 0 and px +8y -7 =0 are perpendicular to each other.

Prove that the tangents to the circle x²+y²=169 at (5,12) and (12,-5) are perpendicular to each other.

If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus.

As the number of units manufactured increases from 6000 to 8000, the total cost of production increases from Rs. 33,000 to Rs. 40,000. Find the relationship between the cost (y) and the number of units made (x) if the relationship is linear.

As the number of units produced increases from 500 to 1000 and the total cost of production increases from. Rs 6000 to Rs 9000. Find the relationship between the cost (y) and the number of units produced (x) if the relationship is linear
Find the equation of the parabola whose focus is the point F(-1, -2) and the directrix is the line 4x - 3y + 2 = 0

Find the equation of the parabola whose focus is (1,3) and whose directrix is x-y+2=0.

Comment

Add Comment

Tamilnadu Stateboardszs - Class