Equation of pair of straight lines drawn through (1, 1) and perpendicular to the pair of lines `3x^(2)-7xy+2y^(2)=0`, isA. `2x^(2)+7xy-11x+6=0`B. `2(x-1)^(2)+7(x-1)(y-1)-3y^(2)=0`C. `2(x-1)^(2)+7(x-1)(y-1)-3(y-1)^(2)=0`D. none of these

Equation of pair of straight lines drawn through (1, 1) and perpendicu

1.	Equation of pair of straight lines drawn through (1, 1) and perpendicular to the pair of lines `3x^(2)-7xy+2y^(2)=0`, isA. `2x^(2)+7xy-11x+6=0`B. `2(x-1)^(2)+7(x-1)(y-1)-3y^(2)=0`C. `2(x-1)^(2)+7(x-1)(y-1)-3(y-1)^(2)=0`D. none of these
Answer» Correct Answer - D The joint equation of pair of straight lines passing through the origin and perpendicular to the pair of lines `3x^(2)-7xy+2y^(2)=0` is `2x^(2)+7xy+3y^(2)=0`. Shifting the origin at (1, 1), we obtain `2(x-1)^(2)+7(x-1)(y-1)+3(y-1)^(2)=0` as the joint equation of pair of lines drawn through (1, 1) and perpendicular to the pair of lines `3x^(2)-7xy+2y^(2)=0`.

The lines represented by the equation `ax^(2)+2bxy+hy^(2)=0` are mutually perpendicular ifA. `a+b=0`B. `b+h=0`C. `h+a=0`D. `ah=-1`
If acute angle between lines `x^(2)-2hxy+y^(2)=0` is `60^(@)` then `h=`A. `-2`B. `+-2`C. `2`D. `sqrt(3)`
The angle between the lines `2x^2-7x y+3y^2=0`is`60^0`2. `45^0`3. `tan^(-1)(7//6)`4. `30^0`A. `60^(@)`B. `45^(@)`C. `tan^(-1)((7)/(6))`D. `30^(@)`
Find the value of `a`for which the lines represented by `a x^2+5x y+2y^2=0`are mutually perpendicular.
The two lines represented by `3a x^2+5x y+(a^2-2)y^2=0`are perpendicular to each other fortwo values of `a`(b) afor one value of `a`(d) for no values of `a`A. two values of aB. for one value of aC. for one value of aD. for no value of a
If acute angle between lines `ax^(2)+2hxy+by^(2)=0` is `(pi)/6`, then `a^(2)+14ab+b^(2)=`A. `4h^(2)`B. `8h^(2)`C. `12h^(2)`D. `16h^(2)`
If acute angle between lines `ax^(2)+2hxy+by^(2)=0` is congruent to that between lines `2x^(2)-5xy+3y^(2)=0` and `k(h^(2)-ab)=(a+b)^(2)` then `k=`A. `-(10)^(2)`B. `(-10)^(2)`C. `-10`D. `10`
If acute angle between lines `ax^(2)+2hxy+by^(2)=0` is `(pi)/4`, then `4h^(2)=`A. `a^(2)+4ab+b^(2)`B. `a^(2)+6ab+b^(2)`C. `(a+2b)(a+3b)`D. `(a-2b)(2a+b)`
The lines `a^2x^2+bcy^2=a(b+c)xy` will be coincident , ifA. `a=b`B. `b=c`C. `c=a`D. `b^(2)=ac`
Find the measure of the acute angle between the lines represented by `(a^(2) - 3b^(2)) x^(2) + 8abxy + (b^(2) - 3a^(2)) y^(2) = 0.`A. `(pi)/6`B. `(pi)/4`C. `(pi)/3`D. `(pi)/2`