If the lines \( x+y+1=0 ; 4 x+3 y+4=0 \) and \( x+\alpha y \)
\( +\beta=0 \), where \( \alpha^{2....
If the lines \( x+y+1=0 ; 4 x+3 y+4=0 \) and \( x+\alpha y \)
\( \mathrm{P} \)
\( +\beta=0 \), where \( \alpha^{2}+\beta^{2}=2 \), are concurrent then:
(1) \( \alpha=1, \beta=-1 \)
(2) \( \alpha=1, \beta= \pm 1 \)
(3) \( \alpha=-1, \beta= \pm 1 \)
(4) \( \quad \alpha= \pm 1, \beta=1 \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2024-01-23 | The equations \( x=t^{3}+9 \) and \( y=\frac{3 t^{3}}{4}+6 \) represents a
straight line where \.... |
2024-01-23 | All the chords of the curve \( 2 x^{2}+3 y^{2}-5 x=0 \) which subtend a right angle at the origi.... |
2024-01-23 | The vertex of right angle of a right angled triangle lies on the straight line \( 2 x+y-10=0 \) .... |
2024-01-23 | If the distances of any point \( P \) from the points \( A(a+ \) \( b, a-b) \) and \( B(a-b, a+b.... |
2024-01-23 | The complete set of real values of ' \( a \) ' such that the point \( P(a, \sin a) \) lies insid.... |
2024-01-23 | If the points \( (2 a, a),(a, 2 a) \) and \( (a, a) \) enclose a triangle of area 72 units, then.... |
2024-01-23 | Let \( a_{n}=\frac{2^{3}-1}{2^{3}+1} \cdot \frac{3^{3}-1}{3^{3}+1} \cdot \frac{4^{3}-1}{4^{3}+1}.... |
2024-01-23 | A straight line through the origin ' \( O \) ' meets the parallel lines \( 4 x+2 y=9 \) and \( 2.... |
2024-01-23 | Given the family of lines, \( a(2 x+y+4)+b(x-2 y- \)
\( 3)=0 \). Among the lines of the family, .... |
2024-01-23 | A piece of cheese is located at \( (12,10) \) in a coordinate plane. A mouse is at \( (4,-2) \) .... |
2024-01-23 | If the lines \( x+y+1=0 ; 4 x+3 y+4=0 \) and \( x+\alpha y \)
\( +\beta=0 \), where \( \alpha^{2.... |
2024-01-23 | If \( P=\left(\frac{1}{x_{p}}, p\right) ; Q=\left(\frac{1}{x_{q}}, q\right) ; R=\left(\frac{1}{x.... |
2024-01-23 | If \( L \) is the line whose equation is \( a x+b y=c \). Let \( M \) be the reflection of \( L .... |
2024-01-23 | Let \( m \) be a positive integer and let the lines
\( 13 x+11 y=700 \) and \( y=m x-1 \) inters.... |
2024-01-23 | If \( S \) sum to 50 terms of \( 1+(2)(3)+4+(5)(6)+7+ \) (8)(9) + .... then \( S / 9935 \).... |
2024-01-23 | If the sum of the slopes of the lines given by \( x^{2}-2 c x y \) \( -7 y^{2}=0 \) is four time.... |
2024-01-23 | Let \( a_{1}=\frac{1}{2}, a_{k+1}=a_{k}^{2}+a_{k} \forall k \geq 1 \) and
\[
x_{n}=\frac{1}{a_{1.... |
2024-01-23 | Let \( S_{1}, S_{2}, S_{3}, \ldots \) be squares such that the length of the side of \( S_{n} \).... |
2024-01-23 | The ratio in which the line segment joining \( (2,-3) \) and \( (5,6) \) is divided by the \( x .... |
2024-01-23 | Match the items in column I with those in column II.
\begin{tabular}{|l|l|c|c|}
\hline \multicol.... |
2024-01-23 | The sum of \( 12\left(\frac{1}{1.3 .5}+\frac{1}{3.5 .7}+\frac{1}{5.7 .9}+\ldots\right. \). upto .... |