Both the roots of the equation \( (x-b)(x-c)+(x-a)(x-c) \) \( +(x-a)(x-b)=0 \) are always (a) po...

Channel:
Subscribers:
449,000
Published on ● Video Link: https://www.youtube.com/watch?v=7glUmOyFVkU



Duration: 4:13
2 views
0


Both the roots of the equation \( (x-b)(x-c)+(x-a)(x-c) \) \( +(x-a)(x-b)=0 \) are always
(a) positive
(b) real
(c) negative
(d) None of these.
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-07-03If \( a_{1}, a_{2} \ldots \ldots . a_{\mathrm{n}} \) are positive real numbers whose product is ...
2023-07-03For the equations \( 3 x^{2}+p x+3=0, p0 \), if one of the roots is square of the other then \( ...
2023-07-03If \( \alpha \) and \( \beta(\alpha\beta) \) are the roots of the equation \( x^{2}+b x+c \) \( ...
2023-07-03If \( a, b, c, d \) are positive real numbers such that \( a+b+c+ \) \( d=2 \), then \( M=(a+b)(...
2023-07-03The number of points of intersection of two curves \( y=2 \) \( \sin x \) and \( y=5 x^{2}+2 x+3...
2023-07-03If \( p, q, r \) are +ve and are in \( A . P . \), the roots of quadratic equation \( p x^{2}+q ...
2023-07-03Let \( p, q \in\{1,2,3,4\} \). The number of equations of the form \( p x^{2}+q x+1=0 \) having ...
2023-07-03The number of solutions of the equation \( \sin (e)^{x}=5^{x}+5^{-x} \) is (a) 0 (b) 1 (c) 2 (d)...
2023-07-03If \( \left(x^{2}+p x+1\right) \) is a factor of \( \left(a x^{3}+b x+c\right) \), then (a) \( a...
2023-07-03If \( \alpha \) and \( \beta \) are the roots of \( x^{2}+p x+q=0 \) and \( \alpha^{4}, \beta^{4...
2023-07-03Both the roots of the equation \( (x-b)(x-c)+(x-a)(x-c) \) \( +(x-a)(x-b)=0 \) are always (a) po...
2023-07-03Two towns \( A \) and \( B \) are \( 60 \mathrm{~km} \) apart. \( A \) school is to be built to ...
2023-07-03Number of real roots of the equation \( x^{4}-4 x-1=0 \) has (a) atmost two positive real root (...
2023-07-03The number of real solutions of the equation \( |x|^{2}-3|x|+2=0 \) is (a) 4 (b) 1 (c) 3 (d) 2
2023-07-03The least value of the expression \( 2 \log _{10} x-\log _{x}(0.01) \), for \( x1 \) is (a) 10 (...
2023-07-03If \( \alpha \) and \( \beta \) are the distinct roots of the equation \( x^{2}+3^{1 / 4} x \) \...
2023-07-03For what integral \( k \) is the inequality \( x^{2}-2(4 k-1) x+15 k^{2} \) \( -2 k-70 \) valid ...
2023-07-03If the inequality \( \frac{m x^{2}+3 x+4}{x^{2}+2 x+2}5 \) is satisfied for all \( x \in R \), t...
2023-07-03Solve the equation \( x^{3}-13 x^{2}+15 x+189=0 \), if one root exceeds the other by 2 . (a) \( ...
2023-07-03Sum of all the roots of the equation \( x^{2}-2 x+|x-1|-5=0 \) is (a) 0 (b) 2 (c) 1 (d) 5
2023-07-03If \( \alpha, \beta, \gamma \) are the roots of the equation, \( x^{3}+p x^{2}+q x+r=0 \) then f...