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Anushka Dash

Subject: Maths, asked on 22/5/18

Proove the area of a pedal triangle is 2?cosAcosBcosC

Anushka Dash

Subject: Maths, asked on 22/5/18

Proove that circumradius of a pedal trangle =R/2

Kabir Chhabra

Subject: Maths, asked on 3/5/18

Q7

7. If the equation of the pair of straight lines, each of which makes an angle with the line y=x, is

$(a) x^{2} + 2 x y s e c 2 α + y^{2} = 0 (b) x^{2} + 2 x y c s c 2 α + y^{2} = 0 (c) x^{2} - 2 x y c s c 2 α + y^{2} = 0 (d) x^{2} - 2 x y s e c 2 α + y^{2} = 0$

Kabir Chhabra

Subject: Maths, asked on 3/5/18

Q4 and Q5:

4. The combined equation of lines, through the origin forming an equilateral triangle with the line x+y+ $\sqrt{3}$ = 0 is.

$(a) x^{2} + 4 x y - y^{2} = 0 (b) x^{2} - 4 x y + y^{2} = 0 (c) x^{2} - 4 x y + 2 y^{2} = 0 (d) x^{2} + 4 x y + 2 y^{2} = 0$

5. If the pair of lines x²+2xy+ay²=0 and ax²+2xy+y²=0 hae exactly one line in common, then the joint equation of the other two lines is given by.

$(a) 3 x^{2} + 8 x y - 3 y^{2} = 0 (b) 3 x^{2} + 10 x y + 3 y^{2} = 0 (c) y^{2} + 2 x y - 3 x^{2} = 0 (d) x^{2} + 2 x y - 3 y^{2} = 0$

Kabir Chhabra

Subject: Maths, asked on 3/5/18

Q13 pls solve fast
Q.13. Area of the parallelogram formed by: $2 x^{2} + 5 x y + 3 y^{2} = 0$ and $2 x^{2} + 5 x y + 3 y^{2} + 3 x + 4 y + 1 = 0$ is:
(a) 1
(b) 2
(c) 3
(d) 4

Kabir Chhabra

Subject: Maths, asked on 3/5/18

Q.11. The circum-center of the triangle formed by the lines xy + 2x + 2y + 4 = 0 and x + y + 2 = 0 is
(a) (0, 0)
(b) (- 2, - 2)
(c) (- 1, - 1)
(d) (- 1, - 2)

Kabir Chhabra

Subject: Maths, asked on 1/5/18

Q3:

3. The equation of the line which bisects the obtuse angle between the lines x -2y +4 =0 and 4x -3y +2 =0

$(a) (4 - \sqrt{5}) x - (3 - 2 \sqrt{5}) y + (2 - 4 \sqrt{5}) = 0 (b) (4 + \sqrt{5}) x - (3 + 2 \sqrt{5}) y + (2 + 4 \sqrt{5}) = 0 (c) (4 + \sqrt{5}) x + (3 + 2 \sqrt{5}) y + (2 + 4 \sqrt{5}) = 0 (d) (4 - \sqrt{5}) x + (3 - 2 \sqrt{5}) y - (2 + 4 \sqrt{5}) = 0$

Pranavi

Subject: Maths, asked on 27/4/18

Solve this:

Q. The distance between the points P $(4, - \frac{π}{6}) and Q (3, \frac{π}{6})$
1. $\sqrt{37}$

2. $\sqrt{17}$

3. $\sqrt{13}$

4. $\sqrt{23}$

Ashrita Mishra

Subject: Maths, asked on 26/4/18

pls

Ashrita Mishra

Subject: Maths, asked on 26/4/18

asap

Kabir Chhabra

Subject: Maths, asked on 26/4/18

Q12:

12. If one of the line represented by the equation ax² +2hxy +by² =0 is coincide with one of the line represented by a'x² +2h'xy +b'y² =0, then

(a) (ab'-a'b)²=4(ah'-a'h) (hb'-h'b)
(b) (ab'+a'b)²=4(ah'-a'h) (hb'-h'b)
(c) (ab'-a'b)²=(ah'-a'h) (hb'-h'b)
(d) (a'b'-ab)²=(ah-a'h') (hb-h'b')

Kabir Chhabra

Subject: Maths, asked on 26/4/18

Q6:

6. If one of the lines represented by the equation ax²+2hxy +by² =0 be y =mx, then

(a) bm² +2hm +a =0 (b) bm² +2hm -a =0
(c) bm² +2hm +b =0 (d) bm² -2hm +a =0

Kabir Chhabra

Subject: Maths, asked on 26/4/18

Solve this :

$5 . The equation of one of the line represented by the equation pq (x^{2} - y^{2}) + (p^{2} - q^{2}) xy = 0 is (a) px - qy = 0 (b) px + qy = 0 (c) p^{2} x + q^{2} y = 0 (d) q^{2} x - p^{2} y = 0$

Kabir Chhabra

Subject: Maths, asked on 26/4/18

Q4

Ashrita Mishra

Subject: Maths, asked on 25/4/18

i, i1, i2, i3 are incentre and excenter of triangle ABC If i(0,0), i1(2,3) and i2(5,7) then distances between orthocentres of triangle ii1i3 and triangle i1i2i3

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