help@askiitians.com

+91-87964 74404

Grade 11Magical Mathematics[Interesting Approach]

The line parallel to x axis and passing through the intersection of lines ax + 2by + 3 b =0 and bx - 2a y - 3 = 0 where(a,b)not equals to 0is
A) above x axis at the distance of 3/2 from it
B) above x-axis at the distance of 2 by 3it
C) below the x-axis of the distance of 2 by 3 from it
D below the x-axis at the distance of 3/2 from it

Sudhanva G V

7 Years agoGrade 11

1 Answer

Arun

7 Years ago

Dear student

The given lines are ax + 2by + 3b = 0 and bx – 2ay – 3a = 0.

Then the required equation is of the form

ax + 2by + 3b + l(bx – 2ay – 3a) = 0.

(a + bl)x + (2b – 2al)y + (3b-3a) = 0

Since, the lline is given to be parallel to x-axis, hence we must have the coefficient of x to be zero.

Hence, a+bl = 0

l = -a/b

So, the given equation reduces to (2b + 2a²/b)y + (3b + 3a²/b) = 0

This yields 2y + 3 = 0, which is a line parallel to x-axis and since, y = -3/2, so it lies below the x-axis at a distnce of 3/2 from the origin.

Regards

Arun

Given that (1+5x)⁴ = 1 + Px + Qx² + Rx³ +..... Find the values of P - 2Q + 3R

magical mathematics[interesting approach]

1 Answer Available

Last Activity: 3 Years ago

9 men and 15 boys working 10 hours a day can make 12 pillars in 42 days, in how many days will 12 men and 22 boys working 8 hours a day can make pillars 4 times the previous number?

magical mathematics[interesting approach]

1 Answer Available

Last Activity: 4 Years ago

In the given figure, PQ is a tangent at a point C to a circle with centre O. If AB is a diameter, find angle PCA + angle BCQ?

magical mathematics[interesting approach]

1 Answer Available

Last Activity: 4 Years ago

for any two sets A and B (A-B)U(B-A)U (A intersection B)

magical mathematics[interesting approach]

0 Answer Available

Last Activity: 4 Years ago

If someone has got 150 out of 200 marks in term 1 exam and 160 out of 200 marks in term 2 exam then what is the percentage in 30:70

magical mathematics[interesting approach]

1 Answer Available

Last Activity: 4 Years ago

View all Questions